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Finding the Fourth Proportional to 225,890.42, 338,764.92 and 81,778.06

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Solution

The fourth proportional to 225,890.42, 338,764.92 and 81,778.06 is: 122,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,890.42 : 338,764.92 = 81,778.06 : x
  2. Step 2: Convert to fraction form
    225,890.42/338,764.92 = 81,778.06/x
  3. Step 3: Cross multiply
    225,890.42x = 338,764.92 × 81,778.06
  4. Step 4: Simplify right side
    225,890.42x = 27,703,537,953.66
  5. Step 5: Solve for x
    x = 27,703,537,953.66/225,890.42
  6. Step 6: Final answer
    x = 122,641.49

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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.