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Finding the Fourth Proportional to 224,797.23, 337,362.09 and 106,468.77

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Solution

The fourth proportional to 224,797.23, 337,362.09 and 106,468.77 is: 159,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,797.23 : 337,362.09 = 106,468.77 : x
  2. Step 2: Convert to fraction form
    224,797.23/337,362.09 = 106,468.77/x
  3. Step 3: Cross multiply
    224,797.23x = 337,362.09 × 106,468.77
  4. Step 4: Simplify right side
    224,797.23x = 35,918,526,766.93
  5. Step 5: Solve for x
    x = 35,918,526,766.93/224,797.23
  6. Step 6: Final answer
    x = 159,781.89

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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.