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Finding the Fourth Proportional to 165,200.85, 227,963.04 and 91,615.65

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Solution

The fourth proportional to 165,200.85, 227,963.04 and 91,615.65 is: 126,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,200.85 : 227,963.04 = 91,615.65 : x
  2. Step 2: Convert to fraction form
    165,200.85/227,963.04 = 91,615.65/x
  3. Step 3: Cross multiply
    165,200.85x = 227,963.04 × 91,615.65
  4. Step 4: Simplify right side
    165,200.85x = 20,884,982,085.58
  5. Step 5: Solve for x
    x = 20,884,982,085.58/165,200.85
  6. Step 6: Final answer
    x = 126,421.76

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1.5x scale

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.