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Finding the Fourth Proportional to 159,599.80, 239,432.10 and 54,429.40

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Solution

The fourth proportional to 159,599.80, 239,432.10 and 54,429.40 is: 81,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,599.80 : 239,432.10 = 54,429.40 : x
  2. Step 2: Convert to fraction form
    159,599.80/239,432.10 = 54,429.40/x
  3. Step 3: Cross multiply
    159,599.80x = 239,432.10 × 54,429.40
  4. Step 4: Simplify right side
    159,599.80x = 13,032,145,543.74
  5. Step 5: Solve for x
    x = 13,032,145,543.74/159,599.80
  6. Step 6: Final answer
    x = 81,655.15

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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.