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Finding the Fourth Proportional to 156,641.38, 216,159.32 and 85,019.88

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Solution

The fourth proportional to 156,641.38, 216,159.32 and 85,019.88 is: 117,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,641.38 : 216,159.32 = 85,019.88 : x
  2. Step 2: Convert to fraction form
    156,641.38/216,159.32 = 85,019.88/x
  3. Step 3: Cross multiply
    156,641.38x = 216,159.32 × 85,019.88
  4. Step 4: Simplify right side
    156,641.38x = 18,377,839,447.28
  5. Step 5: Solve for x
    x = 18,377,839,447.28/156,641.38
  6. Step 6: Final answer
    x = 117,324.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.