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Finding the Fourth Proportional to 137,963.52, 206,772.12 and 58,984.92

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Solution

The fourth proportional to 137,963.52, 206,772.12 and 58,984.92 is: 88,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,963.52 : 206,772.12 = 58,984.92 : x
  2. Step 2: Convert to fraction form
    137,963.52/206,772.12 = 58,984.92/x
  3. Step 3: Cross multiply
    137,963.52x = 206,772.12 × 58,984.92
  4. Step 4: Simplify right side
    137,963.52x = 12,196,436,956.43
  5. Step 5: Solve for x
    x = 12,196,436,956.43/137,963.52
  6. Step 6: Final answer
    x = 88,403.35

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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.