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Finding the Fourth Proportional to 229,185.82, 316,279.90 and 125,828.52

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Solution

The fourth proportional to 229,185.82, 316,279.90 and 125,828.52 is: 173,645.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,185.82 : 316,279.90 = 125,828.52 : x
  2. Step 2: Convert to fraction form
    229,185.82/316,279.90 = 125,828.52/x
  3. Step 3: Cross multiply
    229,185.82x = 316,279.90 × 125,828.52
  4. Step 4: Simplify right side
    229,185.82x = 39,797,031,722.75
  5. Step 5: Solve for x
    x = 39,797,031,722.75/229,185.82
  6. Step 6: Final answer
    x = 173,645.26

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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.