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Finding the Fourth Proportional to 119,371.25, 164,732.33 and 65,659.88

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Solution

The fourth proportional to 119,371.25, 164,732.33 and 65,659.88 is: 90,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,371.25 : 164,732.33 = 65,659.88 : x
  2. Step 2: Convert to fraction form
    119,371.25/164,732.33 = 65,659.88/x
  3. Step 3: Cross multiply
    119,371.25x = 164,732.33 × 65,659.88
  4. Step 4: Simplify right side
    119,371.25x = 10,816,305,595.90
  5. Step 5: Solve for x
    x = 10,816,305,595.90/119,371.25
  6. Step 6: Final answer
    x = 90,610.64

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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.