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Finding the Fourth Proportional to 223,754.92, 335,621.43 and 83,502.64

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Solution

The fourth proportional to 223,754.92, 335,621.43 and 83,502.64 is: 125,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,754.92 : 335,621.43 = 83,502.64 : x
  2. Step 2: Convert to fraction form
    223,754.92/335,621.43 = 83,502.64/x
  3. Step 3: Cross multiply
    223,754.92x = 335,621.43 × 83,502.64
  4. Step 4: Simplify right side
    223,754.92x = 28,025,275,445.58
  5. Step 5: Solve for x
    x = 28,025,275,445.58/223,754.92
  6. Step 6: Final answer
    x = 125,249.87

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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.