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Finding the Fourth Proportional to 158,683,204.80, 238,024,807.20 and 147,204,079.20

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Solution

The fourth proportional to 158,683,204.80, 238,024,807.20 and 147,204,079.20 is: 220,806,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,683,204.80 : 238,024,807.20 = 147,204,079.20 : x
  2. Step 2: Convert to fraction form
    158,683,204.80/238,024,807.20 = 147,204,079.20/x
  3. Step 3: Cross multiply
    158,683,204.80x = 238,024,807.20 × 147,204,079.20
  4. Step 4: Simplify right side
    158,683,204.80x = 35,038,222,570,633,524
  5. Step 5: Solve for x
    x = 35,038,222,570,633,524/158,683,204.80
  6. Step 6: Final answer
    x = 220,806,118.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.