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Finding the Fourth Proportional to 132,111.46, 182,233.18 and 78,360.48

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Solution

The fourth proportional to 132,111.46, 182,233.18 and 78,360.48 is: 108,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,111.46 : 182,233.18 = 78,360.48 : x
  2. Step 2: Convert to fraction form
    132,111.46/182,233.18 = 78,360.48/x
  3. Step 3: Cross multiply
    132,111.46x = 182,233.18 × 78,360.48
  4. Step 4: Simplify right side
    132,111.46x = 14,279,879,456.73
  5. Step 5: Solve for x
    x = 14,279,879,456.73/132,111.46
  6. Step 6: Final answer
    x = 108,089.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.