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Finding the Fourth Proportional to 107,182.46, 160,780 and 36,099.15

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Solution

The fourth proportional to 107,182.46, 160,780 and 36,099.15 is: 54,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,182.46 : 160,780 = 36,099.15 : x
  2. Step 2: Convert to fraction form
    107,182.46/160,780 = 36,099.15/x
  3. Step 3: Cross multiply
    107,182.46x = 160,780 × 36,099.15
  4. Step 4: Simplify right side
    107,182.46x = 5,804,021,337
  5. Step 5: Solve for x
    x = 5,804,021,337/107,182.46
  6. Step 6: Final answer
    x = 54,150.85

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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.