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Finding the Fourth Proportional to 224,489.94, 309,803.36 and 127,691.30

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Solution

The fourth proportional to 224,489.94, 309,803.36 and 127,691.30 is: 176,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,489.94 : 309,803.36 = 127,691.30 : x
  2. Step 2: Convert to fraction form
    224,489.94/309,803.36 = 127,691.30/x
  3. Step 3: Cross multiply
    224,489.94x = 309,803.36 × 127,691.30
  4. Step 4: Simplify right side
    224,489.94x = 39,559,192,970.97
  5. Step 5: Solve for x
    x = 39,559,192,970.97/224,489.94
  6. Step 6: Final answer
    x = 176,218.11

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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.