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Finding the Fourth Proportional to 189,727.50, 261,827.70 and 103,691.80

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Solution

The fourth proportional to 189,727.50, 261,827.70 and 103,691.80 is: 143,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,727.50 : 261,827.70 = 103,691.80 : x
  2. Step 2: Convert to fraction form
    189,727.50/261,827.70 = 103,691.80/x
  3. Step 3: Cross multiply
    189,727.50x = 261,827.70 × 103,691.80
  4. Step 4: Simplify right side
    189,727.50x = 27,149,385,502.86
  5. Step 5: Solve for x
    x = 27,149,385,502.86/189,727.50
  6. Step 6: Final answer
    x = 143,096.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.