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Finding the Fourth Proportional to 223,198.74, 334,712.42 and 95,033.76

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Solution

The fourth proportional to 223,198.74, 334,712.42 and 95,033.76 is: 142,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,198.74 : 334,712.42 = 95,033.76 : x
  2. Step 2: Convert to fraction form
    223,198.74/334,712.42 = 95,033.76/x
  3. Step 3: Cross multiply
    223,198.74x = 334,712.42 × 95,033.76
  4. Step 4: Simplify right side
    223,198.74x = 31,808,979,791.30
  5. Step 5: Solve for x
    x = 31,808,979,791.30/223,198.74
  6. Step 6: Final answer
    x = 142,514.15

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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.