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Finding the Fourth Proportional to 225,305.68, 338,395.92 and 165,906.76

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Solution

The fourth proportional to 225,305.68, 338,395.92 and 165,906.76 is: 249,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,305.68 : 338,395.92 = 165,906.76 : x
  2. Step 2: Convert to fraction form
    225,305.68/338,395.92 = 165,906.76/x
  3. Step 3: Cross multiply
    225,305.68x = 338,395.92 × 165,906.76
  4. Step 4: Simplify right side
    225,305.68x = 56,142,170,684.42
  5. Step 5: Solve for x
    x = 56,142,170,684.42/225,305.68
  6. Step 6: Final answer
    x = 249,182.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.