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Finding the Fourth Proportional to 224,521.94, 309,843.19 and 132,644.25

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Solution

The fourth proportional to 224,521.94, 309,843.19 and 132,644.25 is: 183,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,521.94 : 309,843.19 = 132,644.25 : x
  2. Step 2: Convert to fraction form
    224,521.94/309,843.19 = 132,644.25/x
  3. Step 3: Cross multiply
    224,521.94x = 309,843.19 × 132,644.25
  4. Step 4: Simplify right side
    224,521.94x = 41,098,917,720.96
  5. Step 5: Solve for x
    x = 41,098,917,720.96/224,521.94
  6. Step 6: Final answer
    x = 183,050.78

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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.