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Finding the Fourth Proportional to 146,502.67, 202,177.92 and 82,839.10

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Solution

The fourth proportional to 146,502.67, 202,177.92 and 82,839.10 is: 114,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,502.67 : 202,177.92 = 82,839.10 : x
  2. Step 2: Convert to fraction form
    146,502.67/202,177.92 = 82,839.10/x
  3. Step 3: Cross multiply
    146,502.67x = 202,177.92 × 82,839.10
  4. Step 4: Simplify right side
    146,502.67x = 16,748,236,932.67
  5. Step 5: Solve for x
    x = 16,748,236,932.67/146,502.67
  6. Step 6: Final answer
    x = 114,320.35

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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.