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Finding the Fourth Proportional to 224,138.10, 309,310.70 and 127,342.13

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Solution

The fourth proportional to 224,138.10, 309,310.70 and 127,342.13 is: 175,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,138.10 : 309,310.70 = 127,342.13 : x
  2. Step 2: Convert to fraction form
    224,138.10/309,310.70 = 127,342.13/x
  3. Step 3: Cross multiply
    224,138.10x = 309,310.70 × 127,342.13
  4. Step 4: Simplify right side
    224,138.10x = 39,388,282,286.66
  5. Step 5: Solve for x
    x = 39,388,282,286.66/224,138.10
  6. Step 6: Final answer
    x = 175,732.20

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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.