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Finding the Fourth Proportional to 263,166.50, 363,169.14 and 148,444.76

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Solution

The fourth proportional to 263,166.50, 363,169.14 and 148,444.76 is: 204,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,166.50 : 363,169.14 = 148,444.76 : x
  2. Step 2: Convert to fraction form
    263,166.50/363,169.14 = 148,444.76/x
  3. Step 3: Cross multiply
    263,166.50x = 363,169.14 × 148,444.76
  4. Step 4: Simplify right side
    263,166.50x = 53,910,555,826.71
  5. Step 5: Solve for x
    x = 53,910,555,826.71/263,166.50
  6. Step 6: Final answer
    x = 204,853.41

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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.