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Finding the Fourth Proportional to 119,542.86, 164,963.25 and 65,832.57

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Solution

The fourth proportional to 119,542.86, 164,963.25 and 65,832.57 is: 90,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,542.86 : 164,963.25 = 65,832.57 : x
  2. Step 2: Convert to fraction form
    119,542.86/164,963.25 = 65,832.57/x
  3. Step 3: Cross multiply
    119,542.86x = 164,963.25 × 65,832.57
  4. Step 4: Simplify right side
    119,542.86x = 10,859,954,703.05
  5. Step 5: Solve for x
    x = 10,859,954,703.05/119,542.86
  6. Step 6: Final answer
    x = 90,845.70

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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.