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Finding the Fourth Proportional to 132,162.54, 182,384.46 and 71,733.18

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Solution

The fourth proportional to 132,162.54, 182,384.46 and 71,733.18 is: 98,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,162.54 : 182,384.46 = 71,733.18 : x
  2. Step 2: Convert to fraction form
    132,162.54/182,384.46 = 71,733.18/x
  3. Step 3: Cross multiply
    132,162.54x = 182,384.46 × 71,733.18
  4. Step 4: Simplify right side
    132,162.54x = 13,083,017,298.38
  5. Step 5: Solve for x
    x = 13,083,017,298.38/132,162.54
  6. Step 6: Final answer
    x = 98,991.87

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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.