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Finding the Fourth Proportional to 119,986.48, 165,601.56 and 69,714.64

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Solution

The fourth proportional to 119,986.48, 165,601.56 and 69,714.64 is: 96,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,986.48 : 165,601.56 = 69,714.64 : x
  2. Step 2: Convert to fraction form
    119,986.48/165,601.56 = 69,714.64/x
  3. Step 3: Cross multiply
    119,986.48x = 165,601.56 × 69,714.64
  4. Step 4: Simplify right side
    119,986.48x = 11,544,853,138.84
  5. Step 5: Solve for x
    x = 11,544,853,138.84/119,986.48
  6. Step 6: Final answer
    x = 96,217.95

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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.