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Finding the Fourth Proportional to 214,336.29, 295,781.67 and 123,691.17

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Solution

The fourth proportional to 214,336.29, 295,781.67 and 123,691.17 is: 170,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,336.29 : 295,781.67 = 123,691.17 : x
  2. Step 2: Convert to fraction form
    214,336.29/295,781.67 = 123,691.17/x
  3. Step 3: Cross multiply
    214,336.29x = 295,781.67 × 123,691.17
  4. Step 4: Simplify right side
    214,336.29x = 36,585,580,826.85
  5. Step 5: Solve for x
    x = 36,585,580,826.85/214,336.29
  6. Step 6: Final answer
    x = 170,692.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.