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Finding the Fourth Proportional to 157,586.75, 217,469.25 and 85,966.25

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Solution

The fourth proportional to 157,586.75, 217,469.25 and 85,966.25 is: 118,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,586.75 : 217,469.25 = 85,966.25 : x
  2. Step 2: Convert to fraction form
    157,586.75/217,469.25 = 85,966.25/x
  3. Step 3: Cross multiply
    157,586.75x = 217,469.25 × 85,966.25
  4. Step 4: Simplify right side
    157,586.75x = 18,695,014,825.47
  5. Step 5: Solve for x
    x = 18,695,014,825.47/157,586.75
  6. Step 6: Final answer
    x = 118,633.17

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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.