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Finding the Fourth Proportional to 107,229.98, 147,984.38 and 61,909.87

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Solution

The fourth proportional to 107,229.98, 147,984.38 and 61,909.87 is: 85,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,229.98 : 147,984.38 = 61,909.87 : x
  2. Step 2: Convert to fraction form
    107,229.98/147,984.38 = 61,909.87/x
  3. Step 3: Cross multiply
    107,229.98x = 147,984.38 × 61,909.87
  4. Step 4: Simplify right side
    107,229.98x = 9,161,693,645.01
  5. Step 5: Solve for x
    x = 9,161,693,645.01/107,229.98
  6. Step 6: Final answer
    x = 85,439.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.