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Finding the Fourth Proportional to 224,005, 336,013.98 and 57,793

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Solution

The fourth proportional to 224,005, 336,013.98 and 57,793 is: 86,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,005 : 336,013.98 = 57,793 : x
  2. Step 2: Convert to fraction form
    224,005/336,013.98 = 57,793/x
  3. Step 3: Cross multiply
    224,005x = 336,013.98 × 57,793
  4. Step 4: Simplify right side
    224,005x = 19,419,255,946.14
  5. Step 5: Solve for x
    x = 19,419,255,946.14/224,005
  6. Step 6: Final answer
    x = 86,691.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.