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Finding the Fourth Proportional to 224,517.60, 309,838.80 and 123,915.36

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Solution

The fourth proportional to 224,517.60, 309,838.80 and 123,915.36 is: 171,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,517.60 : 309,838.80 = 123,915.36 : x
  2. Step 2: Convert to fraction form
    224,517.60/309,838.80 = 123,915.36/x
  3. Step 3: Cross multiply
    224,517.60x = 309,838.80 × 123,915.36
  4. Step 4: Simplify right side
    224,517.60x = 38,393,786,443.97
  5. Step 5: Solve for x
    x = 38,393,786,443.97/224,517.60
  6. Step 6: Final answer
    x = 171,005.69

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