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Finding the Fourth Proportional to 157,156.57, 216,876.05 and 85,537.11

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Solution

The fourth proportional to 157,156.57, 216,876.05 and 85,537.11 is: 118,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,156.57 : 216,876.05 = 85,537.11 : x
  2. Step 2: Convert to fraction form
    157,156.57/216,876.05 = 85,537.11/x
  3. Step 3: Cross multiply
    157,156.57x = 216,876.05 × 85,537.11
  4. Step 4: Simplify right side
    157,156.57x = 18,550,951,251.58
  5. Step 5: Solve for x
    x = 18,550,951,251.58/157,156.57
  6. Step 6: Final answer
    x = 118,041.21

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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.