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Finding the Fourth Proportional to 135,023.90, 202,438.65 and 75,877.70

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Solution

The fourth proportional to 135,023.90, 202,438.65 and 75,877.70 is: 113,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,023.90 : 202,438.65 = 75,877.70 : x
  2. Step 2: Convert to fraction form
    135,023.90/202,438.65 = 75,877.70/x
  3. Step 3: Cross multiply
    135,023.90x = 202,438.65 × 75,877.70
  4. Step 4: Simplify right side
    135,023.90x = 15,360,579,153.11
  5. Step 5: Solve for x
    x = 15,360,579,153.11/135,023.90
  6. Step 6: Final answer
    x = 113,761.93

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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.