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Finding the Fourth Proportional to 157,158.34, 216,883.84 and 85,540.96

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Solution

The fourth proportional to 157,158.34, 216,883.84 and 85,540.96 is: 118,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,158.34 : 216,883.84 = 85,540.96 : x
  2. Step 2: Convert to fraction form
    157,158.34/216,883.84 = 85,540.96/x
  3. Step 3: Cross multiply
    157,158.34x = 216,883.84 × 85,540.96
  4. Step 4: Simplify right side
    157,158.34x = 18,552,451,882.09
  5. Step 5: Solve for x
    x = 18,552,451,882.09/157,158.34
  6. Step 6: Final answer
    x = 118,049.43

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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.