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Finding the Fourth Proportional to 230,202.91, 344,928.92 and 141,268.55

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Solution

The fourth proportional to 230,202.91, 344,928.92 and 141,268.55 is: 211,672.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,202.91 : 344,928.92 = 141,268.55 : x
  2. Step 2: Convert to fraction form
    230,202.91/344,928.92 = 141,268.55/x
  3. Step 3: Cross multiply
    230,202.91x = 344,928.92 × 141,268.55
  4. Step 4: Simplify right side
    230,202.91x = 48,727,608,381.47
  5. Step 5: Solve for x
    x = 48,727,608,381.47/230,202.91
  6. Step 6: Final answer
    x = 211,672.43

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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.