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Finding the Fourth Proportional to 157,416.80, 217,239.92 and 85,801.46

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Solution

The fourth proportional to 157,416.80, 217,239.92 and 85,801.46 is: 118,408.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,416.80 : 217,239.92 = 85,801.46 : x
  2. Step 2: Convert to fraction form
    157,416.80/217,239.92 = 85,801.46/x
  3. Step 3: Cross multiply
    157,416.80x = 217,239.92 × 85,801.46
  4. Step 4: Simplify right side
    157,416.80x = 18,639,502,306.28
  5. Step 5: Solve for x
    x = 18,639,502,306.28/157,416.80
  6. Step 6: Final answer
    x = 118,408.60

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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.