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Finding the Fourth Proportional to 218,408.01, 327,634.38 and 83,585.49

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Solution

The fourth proportional to 218,408.01, 327,634.38 and 83,585.49 is: 125,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,408.01 : 327,634.38 = 83,585.49 : x
  2. Step 2: Convert to fraction form
    218,408.01/327,634.38 = 83,585.49/x
  3. Step 3: Cross multiply
    218,408.01x = 327,634.38 × 83,585.49
  4. Step 4: Simplify right side
    218,408.01x = 27,385,480,193.15
  5. Step 5: Solve for x
    x = 27,385,480,193.15/218,408.01
  6. Step 6: Final answer
    x = 125,386.79

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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.