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Finding the Fourth Proportional to 203,498.80, 305,248.20 and 150,354.70

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Solution

The fourth proportional to 203,498.80, 305,248.20 and 150,354.70 is: 225,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,498.80 : 305,248.20 = 150,354.70 : x
  2. Step 2: Convert to fraction form
    203,498.80/305,248.20 = 150,354.70/x
  3. Step 3: Cross multiply
    203,498.80x = 305,248.20 × 150,354.70
  4. Step 4: Simplify right side
    203,498.80x = 45,895,501,536.54
  5. Step 5: Solve for x
    x = 45,895,501,536.54/203,498.80
  6. Step 6: Final answer
    x = 225,532.05

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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.