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Finding the Fourth Proportional to 296,092.54, 444,308.12 and 125,300.80

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Solution

The fourth proportional to 296,092.54, 444,308.12 and 125,300.80 is: 188,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,092.54 : 444,308.12 = 125,300.80 : x
  2. Step 2: Convert to fraction form
    296,092.54/444,308.12 = 125,300.80/x
  3. Step 3: Cross multiply
    296,092.54x = 444,308.12 × 125,300.80
  4. Step 4: Simplify right side
    296,092.54x = 55,672,162,882.50
  5. Step 5: Solve for x
    x = 55,672,162,882.50/296,092.54
  6. Step 6: Final answer
    x = 188,022.85

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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.