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Finding the Fourth Proportional to 157,586.50, 217,469.37 and 85,966.81

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Solution

The fourth proportional to 157,586.50, 217,469.37 and 85,966.81 is: 118,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,586.50 : 217,469.37 = 85,966.81 : x
  2. Step 2: Convert to fraction form
    157,586.50/217,469.37 = 85,966.81/x
  3. Step 3: Cross multiply
    157,586.50x = 217,469.37 × 85,966.81
  4. Step 4: Simplify right side
    157,586.50x = 18,695,148,011.61
  5. Step 5: Solve for x
    x = 18,695,148,011.61/157,586.50
  6. Step 6: Final answer
    x = 118,634.20

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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.