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Finding the Fourth Proportional to 157,891.92, 217,890.90 and 85,294.83

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Solution

The fourth proportional to 157,891.92, 217,890.90 and 85,294.83 is: 117,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,891.92 : 217,890.90 = 85,294.83 : x
  2. Step 2: Convert to fraction form
    157,891.92/217,890.90 = 85,294.83/x
  3. Step 3: Cross multiply
    157,891.92x = 217,890.90 × 85,294.83
  4. Step 4: Simplify right side
    157,891.92x = 18,584,966,847.57
  5. Step 5: Solve for x
    x = 18,584,966,847.57/157,891.92
  6. Step 6: Final answer
    x = 117,706.89

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1.5x scale

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.