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Finding the Fourth Proportional to 158,704.80, 238,057.20 and 137,968.80

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Solution

The fourth proportional to 158,704.80, 238,057.20 and 137,968.80 is: 206,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,704.80 : 238,057.20 = 137,968.80 : x
  2. Step 2: Convert to fraction form
    158,704.80/238,057.20 = 137,968.80/x
  3. Step 3: Cross multiply
    158,704.80x = 238,057.20 × 137,968.80
  4. Step 4: Simplify right side
    158,704.80x = 32,844,466,215.36
  5. Step 5: Solve for x
    x = 32,844,466,215.36/158,704.80
  6. Step 6: Final answer
    x = 206,953.20

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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.