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Finding the Fourth Proportional to 224,053.29, 335,729.88 and 129,341.61

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Solution

The fourth proportional to 224,053.29, 335,729.88 and 129,341.61 is: 193,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,053.29 : 335,729.88 = 129,341.61 : x
  2. Step 2: Convert to fraction form
    224,053.29/335,729.88 = 129,341.61/x
  3. Step 3: Cross multiply
    224,053.29x = 335,729.88 × 129,341.61
  4. Step 4: Simplify right side
    224,053.29x = 43,423,843,204.31
  5. Step 5: Solve for x
    x = 43,423,843,204.31/224,053.29
  6. Step 6: Final answer
    x = 193,810.34

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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.