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Finding the Fourth Proportional to 100,884.20, 151,472.10 and 76,098.20

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Solution

The fourth proportional to 100,884.20, 151,472.10 and 76,098.20 is: 114,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,884.20 : 151,472.10 = 76,098.20 : x
  2. Step 2: Convert to fraction form
    100,884.20/151,472.10 = 76,098.20/x
  3. Step 3: Cross multiply
    100,884.20x = 151,472.10 × 76,098.20
  4. Step 4: Simplify right side
    100,884.20x = 11,526,754,160.22
  5. Step 5: Solve for x
    x = 11,526,754,160.22/100,884.20
  6. Step 6: Final answer
    x = 114,257.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.