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Finding the Fourth Proportional to 160,098.42, 220,936.17 and 87,502.48

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Solution

The fourth proportional to 160,098.42, 220,936.17 and 87,502.48 is: 120,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,098.42 : 220,936.17 = 87,502.48 : x
  2. Step 2: Convert to fraction form
    160,098.42/220,936.17 = 87,502.48/x
  3. Step 3: Cross multiply
    160,098.42x = 220,936.17 × 87,502.48
  4. Step 4: Simplify right side
    160,098.42x = 19,332,461,910.78
  5. Step 5: Solve for x
    x = 19,332,461,910.78/160,098.42
  6. Step 6: Final answer
    x = 120,753.61

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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.