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Finding the Fourth Proportional to 224,006.14, 309,138.15 and 127,208.04

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Solution

The fourth proportional to 224,006.14, 309,138.15 and 127,208.04 is: 175,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,006.14 : 309,138.15 = 127,208.04 : x
  2. Step 2: Convert to fraction form
    224,006.14/309,138.15 = 127,208.04/x
  3. Step 3: Cross multiply
    224,006.14x = 309,138.15 × 127,208.04
  4. Step 4: Simplify right side
    224,006.14x = 39,324,856,605.04
  5. Step 5: Solve for x
    x = 39,324,856,605.04/224,006.14
  6. Step 6: Final answer
    x = 175,552.58

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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.