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Finding the Fourth Proportional to 275,073.22, 412,565.55 and 75,346.91

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Solution

The fourth proportional to 275,073.22, 412,565.55 and 75,346.91 is: 113,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,073.22 : 412,565.55 = 75,346.91 : x
  2. Step 2: Convert to fraction form
    275,073.22/412,565.55 = 75,346.91/x
  3. Step 3: Cross multiply
    275,073.22x = 412,565.55 × 75,346.91
  4. Step 4: Simplify right side
    275,073.22x = 31,085,538,990.52
  5. Step 5: Solve for x
    x = 31,085,538,990.52/275,073.22
  6. Step 6: Final answer
    x = 113,008.24

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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.