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Finding the Fourth Proportional to 225,382.80, 338,261.91 and 118,805.04

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Solution

The fourth proportional to 225,382.80, 338,261.91 and 118,805.04 is: 178,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,382.80 : 338,261.91 = 118,805.04 : x
  2. Step 2: Convert to fraction form
    225,382.80/338,261.91 = 118,805.04/x
  3. Step 3: Cross multiply
    225,382.80x = 338,261.91 × 118,805.04
  4. Step 4: Simplify right side
    225,382.80x = 40,187,219,748.03
  5. Step 5: Solve for x
    x = 40,187,219,748.03/225,382.80
  6. Step 6: Final answer
    x = 178,306.51

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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.