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Finding the Fourth Proportional to 182,361.67, 251,701.10 and 106,934.47

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Solution

The fourth proportional to 182,361.67, 251,701.10 and 106,934.47 is: 147,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,361.67 : 251,701.10 = 106,934.47 : x
  2. Step 2: Convert to fraction form
    182,361.67/251,701.10 = 106,934.47/x
  3. Step 3: Cross multiply
    182,361.67x = 251,701.10 × 106,934.47
  4. Step 4: Simplify right side
    182,361.67x = 26,915,523,726.92
  5. Step 5: Solve for x
    x = 26,915,523,726.92/182,361.67
  6. Step 6: Final answer
    x = 147,594.19

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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.