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Finding the Fourth Proportional to 106,909.96, 160,363.26 and 36,789.88

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Solution

The fourth proportional to 106,909.96, 160,363.26 and 36,789.88 is: 55,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,909.96 : 160,363.26 = 36,789.88 : x
  2. Step 2: Convert to fraction form
    106,909.96/160,363.26 = 36,789.88/x
  3. Step 3: Cross multiply
    106,909.96x = 160,363.26 × 36,789.88
  4. Step 4: Simplify right side
    106,909.96x = 5,899,745,091.81
  5. Step 5: Solve for x
    x = 5,899,745,091.81/106,909.96
  6. Step 6: Final answer
    x = 55,184.24

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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.