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Finding the Fourth Proportional to 224,802.24, 337,369.60 and 106,473.78

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Solution

The fourth proportional to 224,802.24, 337,369.60 and 106,473.78 is: 159,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,802.24 : 337,369.60 = 106,473.78 : x
  2. Step 2: Convert to fraction form
    224,802.24/337,369.60 = 106,473.78/x
  3. Step 3: Cross multiply
    224,802.24x = 337,369.60 × 106,473.78
  4. Step 4: Simplify right side
    224,802.24x = 35,921,016,569.09
  5. Step 5: Solve for x
    x = 35,921,016,569.09/224,802.24
  6. Step 6: Final answer
    x = 159,789.41

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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.