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Finding the Fourth Proportional to 119,414.85, 164,791.27 and 65,699.90

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Solution

The fourth proportional to 119,414.85, 164,791.27 and 65,699.90 is: 90,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,414.85 : 164,791.27 = 65,699.90 : x
  2. Step 2: Convert to fraction form
    119,414.85/164,791.27 = 65,699.90/x
  3. Step 3: Cross multiply
    119,414.85x = 164,791.27 × 65,699.90
  4. Step 4: Simplify right side
    119,414.85x = 10,826,769,959.87
  5. Step 5: Solve for x
    x = 10,826,769,959.87/119,414.85
  6. Step 6: Final answer
    x = 90,665.19

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Why These Related Problems?

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