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Finding the Fourth Proportional to 226,877.92, 340,368.09 and 75,074.61

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Solution

The fourth proportional to 226,877.92, 340,368.09 and 75,074.61 is: 112,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,877.92 : 340,368.09 = 75,074.61 : x
  2. Step 2: Convert to fraction form
    226,877.92/340,368.09 = 75,074.61/x
  3. Step 3: Cross multiply
    226,877.92x = 340,368.09 × 75,074.61
  4. Step 4: Simplify right side
    226,877.92x = 25,553,001,613.19
  5. Step 5: Solve for x
    x = 25,553,001,613.19/226,877.92
  6. Step 6: Final answer
    x = 112,628.86

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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.