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Finding the Fourth Proportional to 132,378.49, 182,677.84 and 75,778.93

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Solution

The fourth proportional to 132,378.49, 182,677.84 and 75,778.93 is: 104,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,378.49 : 182,677.84 = 75,778.93 : x
  2. Step 2: Convert to fraction form
    132,378.49/182,677.84 = 75,778.93/x
  3. Step 3: Cross multiply
    132,378.49x = 182,677.84 × 75,778.93
  4. Step 4: Simplify right side
    132,378.49x = 13,843,131,249.91
  5. Step 5: Solve for x
    x = 13,843,131,249.91/132,378.49
  6. Step 6: Final answer
    x = 104,572.36

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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.