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Finding the Fourth Proportional to 225,805.13, 338,707.69 and 76,032.88

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Solution

The fourth proportional to 225,805.13, 338,707.69 and 76,032.88 is: 114,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,805.13 : 338,707.69 = 76,032.88 : x
  2. Step 2: Convert to fraction form
    225,805.13/338,707.69 = 76,032.88/x
  3. Step 3: Cross multiply
    225,805.13x = 338,707.69 × 76,032.88
  4. Step 4: Simplify right side
    225,805.13x = 25,752,919,075.14
  5. Step 5: Solve for x
    x = 25,752,919,075.14/225,805.13
  6. Step 6: Final answer
    x = 114,049.31

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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.