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Finding the Fourth Proportional to 212,081.85, 318,114.45 and 71,840.46

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Solution

The fourth proportional to 212,081.85, 318,114.45 and 71,840.46 is: 107,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,081.85 : 318,114.45 = 71,840.46 : x
  2. Step 2: Convert to fraction form
    212,081.85/318,114.45 = 71,840.46/x
  3. Step 3: Cross multiply
    212,081.85x = 318,114.45 × 71,840.46
  4. Step 4: Simplify right side
    212,081.85x = 22,853,488,420.65
  5. Step 5: Solve for x
    x = 22,853,488,420.65/212,081.85
  6. Step 6: Final answer
    x = 107,757.87

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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.