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Finding the Fourth Proportional to 224,486.40, 309,798.45 and 127,687.78

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Solution

The fourth proportional to 224,486.40, 309,798.45 and 127,687.78 is: 176,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,486.40 : 309,798.45 = 127,687.78 : x
  2. Step 2: Convert to fraction form
    224,486.40/309,798.45 = 127,687.78/x
  3. Step 3: Cross multiply
    224,486.40x = 309,798.45 × 127,687.78
  4. Step 4: Simplify right side
    224,486.40x = 39,557,475,553.44
  5. Step 5: Solve for x
    x = 39,557,475,553.44/224,486.40
  6. Step 6: Final answer
    x = 176,213.24

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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.