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Finding the Fourth Proportional to 132,463.94, 182,792.85 and 75,878.96

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Solution

The fourth proportional to 132,463.94, 182,792.85 and 75,878.96 is: 104,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,463.94 : 182,792.85 = 75,878.96 : x
  2. Step 2: Convert to fraction form
    132,463.94/182,792.85 = 75,878.96/x
  3. Step 3: Cross multiply
    132,463.94x = 182,792.85 × 75,878.96
  4. Step 4: Simplify right side
    132,463.94x = 13,870,131,353.44
  5. Step 5: Solve for x
    x = 13,870,131,353.44/132,463.94
  6. Step 6: Final answer
    x = 104,708.73

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Why These Related Problems?

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