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Finding the Fourth Proportional to 263,572.80, 363,819.24 and 160,206.68

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Solution

The fourth proportional to 263,572.80, 363,819.24 and 160,206.68 is: 221,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,572.80 : 363,819.24 = 160,206.68 : x
  2. Step 2: Convert to fraction form
    263,572.80/363,819.24 = 160,206.68/x
  3. Step 3: Cross multiply
    263,572.80x = 363,819.24 × 160,206.68
  4. Step 4: Simplify right side
    263,572.80x = 58,286,272,560.52
  5. Step 5: Solve for x
    x = 58,286,272,560.52/263,572.80
  6. Step 6: Final answer
    x = 221,139.18

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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.