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Finding the Fourth Proportional to 107,181.46, 160,778.50 and 36,098.15

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Solution

The fourth proportional to 107,181.46, 160,778.50 and 36,098.15 is: 54,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,181.46 : 160,778.50 = 36,098.15 : x
  2. Step 2: Convert to fraction form
    107,181.46/160,778.50 = 36,098.15/x
  3. Step 3: Cross multiply
    107,181.46x = 160,778.50 × 36,098.15
  4. Step 4: Simplify right side
    107,181.46x = 5,803,806,721.48
  5. Step 5: Solve for x
    x = 5,803,806,721.48/107,181.46
  6. Step 6: Final answer
    x = 54,149.35

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