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Finding the Fourth Proportional to 109,304.80, 163,932.58 and 71,342.12

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Solution

The fourth proportional to 109,304.80, 163,932.58 and 71,342.12 is: 106,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,304.80 : 163,932.58 = 71,342.12 : x
  2. Step 2: Convert to fraction form
    109,304.80/163,932.58 = 71,342.12/x
  3. Step 3: Cross multiply
    109,304.80x = 163,932.58 × 71,342.12
  4. Step 4: Simplify right side
    109,304.80x = 11,695,297,972.62
  5. Step 5: Solve for x
    x = 11,695,297,972.62/109,304.80
  6. Step 6: Final answer
    x = 106,997.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.