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Finding the Fourth Proportional to 119,305.43, 164,641.93 and 65,593.85

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Solution

The fourth proportional to 119,305.43, 164,641.93 and 65,593.85 is: 90,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,305.43 : 164,641.93 = 65,593.85 : x
  2. Step 2: Convert to fraction form
    119,305.43/164,641.93 = 65,593.85/x
  3. Step 3: Cross multiply
    119,305.43x = 164,641.93 × 65,593.85
  4. Step 4: Simplify right side
    119,305.43x = 10,799,498,307.75
  5. Step 5: Solve for x
    x = 10,799,498,307.75/119,305.43
  6. Step 6: Final answer
    x = 90,519.75

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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.