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Finding the Fourth Proportional to 223,793.28, 335,767.68 and 99,221.76

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Solution

The fourth proportional to 223,793.28, 335,767.68 and 99,221.76 is: 148,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,793.28 : 335,767.68 = 99,221.76 : x
  2. Step 2: Convert to fraction form
    223,793.28/335,767.68 = 99,221.76/x
  3. Step 3: Cross multiply
    223,793.28x = 335,767.68 × 99,221.76
  4. Step 4: Simplify right side
    223,793.28x = 33,315,460,160.72
  5. Step 5: Solve for x
    x = 33,315,460,160.72/223,793.28
  6. Step 6: Final answer
    x = 148,867.12

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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.