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Finding the Fourth Proportional to 149,147.68, 223,459.08 and 140,268.46

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Solution

The fourth proportional to 149,147.68, 223,459.08 and 140,268.46 is: 210,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,147.68 : 223,459.08 = 140,268.46 : x
  2. Step 2: Convert to fraction form
    149,147.68/223,459.08 = 140,268.46/x
  3. Step 3: Cross multiply
    149,147.68x = 223,459.08 × 140,268.46
  4. Step 4: Simplify right side
    149,147.68x = 31,344,261,024.62
  5. Step 5: Solve for x
    x = 31,344,261,024.62/149,147.68
  6. Step 6: Final answer
    x = 210,155.87

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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.