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Finding the Fourth Proportional to 109,882.27, 164,957.99 and 72,473.64

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Solution

The fourth proportional to 109,882.27, 164,957.99 and 72,473.64 is: 108,799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882.27 : 164,957.99 = 72,473.64 : x
  2. Step 2: Convert to fraction form
    109,882.27/164,957.99 = 72,473.64/x
  3. Step 3: Cross multiply
    109,882.27x = 164,957.99 × 72,473.64
  4. Step 4: Simplify right side
    109,882.27x = 11,955,105,001.42
  5. Step 5: Solve for x
    x = 11,955,105,001.42/109,882.27
  6. Step 6: Final answer
    x = 108,799.22

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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.