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Finding the Fourth Proportional to 157,439.82, 217,269.23 and 85,819.86

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Solution

The fourth proportional to 157,439.82, 217,269.23 and 85,819.86 is: 118,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,439.82 : 217,269.23 = 85,819.86 : x
  2. Step 2: Convert to fraction form
    157,439.82/217,269.23 = 85,819.86/x
  3. Step 3: Cross multiply
    157,439.82x = 217,269.23 × 85,819.86
  4. Step 4: Simplify right side
    157,439.82x = 18,646,014,900.91
  5. Step 5: Solve for x
    x = 18,646,014,900.91/157,439.82
  6. Step 6: Final answer
    x = 118,432.65

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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.