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Finding the Fourth Proportional to 135,177.35, 202,744.73 and 85,104.15

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Solution

The fourth proportional to 135,177.35, 202,744.73 and 85,104.15 is: 127,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,177.35 : 202,744.73 = 85,104.15 : x
  2. Step 2: Convert to fraction form
    135,177.35/202,744.73 = 85,104.15/x
  3. Step 3: Cross multiply
    135,177.35x = 202,744.73 × 85,104.15
  4. Step 4: Simplify right side
    135,177.35x = 17,254,417,488.11
  5. Step 5: Solve for x
    x = 17,254,417,488.11/135,177.35
  6. Step 6: Final answer
    x = 127,642.82

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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.