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Finding the Fourth Proportional to 225,255.68, 338,320.92 and 165,856.76

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Solution

The fourth proportional to 225,255.68, 338,320.92 and 165,856.76 is: 249,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,255.68 : 338,320.92 = 165,856.76 : x
  2. Step 2: Convert to fraction form
    225,255.68/338,320.92 = 165,856.76/x
  3. Step 3: Cross multiply
    225,255.68x = 338,320.92 × 165,856.76
  4. Step 4: Simplify right side
    225,255.68x = 56,112,811,631.42
  5. Step 5: Solve for x
    x = 56,112,811,631.42/225,255.68
  6. Step 6: Final answer
    x = 249,107.20

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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.