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Finding the Fourth Proportional to 225,833.91, 338,882.10 and 101,174.91

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Solution

The fourth proportional to 225,833.91, 338,882.10 and 101,174.91 is: 151,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,833.91 : 338,882.10 = 101,174.91 : x
  2. Step 2: Convert to fraction form
    225,833.91/338,882.10 = 101,174.91/x
  3. Step 3: Cross multiply
    225,833.91x = 338,882.10 × 101,174.91
  4. Step 4: Simplify right side
    225,833.91x = 34,286,364,317.90
  5. Step 5: Solve for x
    x = 34,286,364,317.90/225,833.91
  6. Step 6: Final answer
    x = 151,821.15

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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.