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Finding the Fourth Proportional to 233,871.85, 322,743.18 and 126,441.86

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Solution

The fourth proportional to 233,871.85, 322,743.18 and 126,441.86 is: 174,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,871.85 : 322,743.18 = 126,441.86 : x
  2. Step 2: Convert to fraction form
    233,871.85/322,743.18 = 126,441.86/x
  3. Step 3: Cross multiply
    233,871.85x = 322,743.18 × 126,441.86
  4. Step 4: Simplify right side
    233,871.85x = 40,808,246,841.96
  5. Step 5: Solve for x
    x = 40,808,246,841.96/233,871.85
  6. Step 6: Final answer
    x = 174,489.78

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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.