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Finding the Fourth Proportional to 278,407.82, 417,407.25 and 88,759.10

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Solution

The fourth proportional to 278,407.82, 417,407.25 and 88,759.10 is: 133,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,407.82 : 417,407.25 = 88,759.10 : x
  2. Step 2: Convert to fraction form
    278,407.82/417,407.25 = 88,759.10/x
  3. Step 3: Cross multiply
    278,407.82x = 417,407.25 × 88,759.10
  4. Step 4: Simplify right side
    278,407.82x = 37,048,691,843.48
  5. Step 5: Solve for x
    x = 37,048,691,843.48/278,407.82
  6. Step 6: Final answer
    x = 133,073.46

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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.