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Finding the Fourth Proportional to 129,462.26, 178,632.34 and 81,780.98

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Solution

The fourth proportional to 129,462.26, 178,632.34 and 81,780.98 is: 112,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,462.26 : 178,632.34 = 81,780.98 : x
  2. Step 2: Convert to fraction form
    129,462.26/178,632.34 = 81,780.98/x
  3. Step 3: Cross multiply
    129,462.26x = 178,632.34 × 81,780.98
  4. Step 4: Simplify right side
    129,462.26x = 14,608,726,727.28
  5. Step 5: Solve for x
    x = 14,608,726,727.28/129,462.26
  6. Step 6: Final answer
    x = 112,841.59

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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.