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Finding the Fourth Proportional to 157,434.76, 217,262.23 and 85,814.78

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Solution

The fourth proportional to 157,434.76, 217,262.23 and 85,814.78 is: 118,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,434.76 : 217,262.23 = 85,814.78 : x
  2. Step 2: Convert to fraction form
    157,434.76/217,262.23 = 85,814.78/x
  3. Step 3: Cross multiply
    157,434.76x = 217,262.23 × 85,814.78
  4. Step 4: Simplify right side
    157,434.76x = 18,644,310,469.76
  5. Step 5: Solve for x
    x = 18,644,310,469.76/157,434.76
  6. Step 6: Final answer
    x = 118,425.63

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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.