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Finding the Fourth Proportional to 224,839.60, 310,343.28 and 148,414.48

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Solution

The fourth proportional to 224,839.60, 310,343.28 and 148,414.48 is: 204,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,839.60 : 310,343.28 = 148,414.48 : x
  2. Step 2: Convert to fraction form
    224,839.60/310,343.28 = 148,414.48/x
  3. Step 3: Cross multiply
    224,839.60x = 310,343.28 × 148,414.48
  4. Step 4: Simplify right side
    224,839.60x = 46,059,436,522.69
  5. Step 5: Solve for x
    x = 46,059,436,522.69/224,839.60
  6. Step 6: Final answer
    x = 204,854.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.