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Finding the Fourth Proportional to 224,789.94, 337,294.86 and 98,412.92

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Solution

The fourth proportional to 224,789.94, 337,294.86 and 98,412.92 is: 147,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,789.94 : 337,294.86 = 98,412.92 : x
  2. Step 2: Convert to fraction form
    224,789.94/337,294.86 = 98,412.92/x
  3. Step 3: Cross multiply
    224,789.94x = 337,294.86 × 98,412.92
  4. Step 4: Simplify right side
    224,789.94x = 33,194,172,073.59
  5. Step 5: Solve for x
    x = 33,194,172,073.59/224,789.94
  6. Step 6: Final answer
    x = 147,667.52

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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.