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Finding the Fourth Proportional to 157,250.76, 217,000.31 and 85,629.21

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Solution

The fourth proportional to 157,250.76, 217,000.31 and 85,629.21 is: 118,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,250.76 : 217,000.31 = 85,629.21 : x
  2. Step 2: Convert to fraction form
    157,250.76/217,000.31 = 85,629.21/x
  3. Step 3: Cross multiply
    157,250.76x = 217,000.31 × 85,629.21
  4. Step 4: Simplify right side
    157,250.76x = 18,581,565,115.06
  5. Step 5: Solve for x
    x = 18,581,565,115.06/157,250.76
  6. Step 6: Final answer
    x = 118,165.18

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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.