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Finding the Fourth Proportional to 101,399.10, 152,098.65 and 85,847.10

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Solution

The fourth proportional to 101,399.10, 152,098.65 and 85,847.10 is: 128,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,399.10 : 152,098.65 = 85,847.10 : x
  2. Step 2: Convert to fraction form
    101,399.10/152,098.65 = 85,847.10/x
  3. Step 3: Cross multiply
    101,399.10x = 152,098.65 × 85,847.10
  4. Step 4: Simplify right side
    101,399.10x = 13,057,228,016.42
  5. Step 5: Solve for x
    x = 13,057,228,016.42/101,399.10
  6. Step 6: Final answer
    x = 128,770.65

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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.