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Finding the Fourth Proportional to 220,642.38, 304,477.92 and 125,167.68

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Solution

The fourth proportional to 220,642.38, 304,477.92 and 125,167.68 is: 172,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,642.38 : 304,477.92 = 125,167.68 : x
  2. Step 2: Convert to fraction form
    220,642.38/304,477.92 = 125,167.68/x
  3. Step 3: Cross multiply
    220,642.38x = 304,477.92 × 125,167.68
  4. Step 4: Simplify right side
    220,642.38x = 38,110,794,857.63
  5. Step 5: Solve for x
    x = 38,110,794,857.63/220,642.38
  6. Step 6: Final answer
    x = 172,726.54

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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.