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Finding the Fourth Proportional to 119,682.56, 165,161.04 and 65,967.68

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Solution

The fourth proportional to 119,682.56, 165,161.04 and 65,967.68 is: 91,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,682.56 : 165,161.04 = 65,967.68 : x
  2. Step 2: Convert to fraction form
    119,682.56/165,161.04 = 65,967.68/x
  3. Step 3: Cross multiply
    119,682.56x = 165,161.04 × 65,967.68
  4. Step 4: Simplify right side
    119,682.56x = 10,895,290,635.19
  5. Step 5: Solve for x
    x = 10,895,290,635.19/119,682.56
  6. Step 6: Final answer
    x = 91,034.91

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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.