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Finding the Fourth Proportional to 157,122.54, 216,824.76 and 85,500.90

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Solution

The fourth proportional to 157,122.54, 216,824.76 and 85,500.90 is: 117,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,122.54 : 216,824.76 = 85,500.90 : x
  2. Step 2: Convert to fraction form
    157,122.54/216,824.76 = 85,500.90/x
  3. Step 3: Cross multiply
    157,122.54x = 216,824.76 × 85,500.90
  4. Step 4: Simplify right side
    157,122.54x = 18,538,712,122.28
  5. Step 5: Solve for x
    x = 18,538,712,122.28/157,122.54
  6. Step 6: Final answer
    x = 117,988.88

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