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Finding the Fourth Proportional to 225,930, 338,658.52 and 76,118.52

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Solution

The fourth proportional to 225,930, 338,658.52 and 76,118.52 is: 114,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,930 : 338,658.52 = 76,118.52 : x
  2. Step 2: Convert to fraction form
    225,930/338,658.52 = 76,118.52/x
  3. Step 3: Cross multiply
    225,930x = 338,658.52 × 76,118.52
  4. Step 4: Simplify right side
    225,930x = 25,778,185,327.79
  5. Step 5: Solve for x
    x = 25,778,185,327.79/225,930
  6. Step 6: Final answer
    x = 114,098.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.