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Finding the Fourth Proportional to 109,097.56, 163,721.67 and 71,675.56

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Solution

The fourth proportional to 109,097.56, 163,721.67 and 71,675.56 is: 107,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,097.56 : 163,721.67 = 71,675.56 : x
  2. Step 2: Convert to fraction form
    109,097.56/163,721.67 = 71,675.56/x
  3. Step 3: Cross multiply
    109,097.56x = 163,721.67 × 71,675.56
  4. Step 4: Simplify right side
    109,097.56x = 11,734,842,381.39
  5. Step 5: Solve for x
    x = 11,734,842,381.39/109,097.56
  6. Step 6: Final answer
    x = 107,562.83

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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.