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Finding the Fourth Proportional to 157,469.38, 217,306.46 and 85,848.10

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Solution

The fourth proportional to 157,469.38, 217,306.46 and 85,848.10 is: 118,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,469.38 : 217,306.46 = 85,848.10 : x
  2. Step 2: Convert to fraction form
    157,469.38/217,306.46 = 85,848.10/x
  3. Step 3: Cross multiply
    157,469.38x = 217,306.46 × 85,848.10
  4. Step 4: Simplify right side
    157,469.38x = 18,655,346,708.73
  5. Step 5: Solve for x
    x = 18,655,346,708.73/157,469.38
  6. Step 6: Final answer
    x = 118,469.68

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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.