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Finding the Fourth Proportional to 206,829.68, 285,417.42 and 126,391.82

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Solution

The fourth proportional to 206,829.68, 285,417.42 and 126,391.82 is: 174,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,829.68 : 285,417.42 = 126,391.82 : x
  2. Step 2: Convert to fraction form
    206,829.68/285,417.42 = 126,391.82/x
  3. Step 3: Cross multiply
    206,829.68x = 285,417.42 × 126,391.82
  4. Step 4: Simplify right side
    206,829.68x = 36,074,427,173.50
  5. Step 5: Solve for x
    x = 36,074,427,173.50/206,829.68
  6. Step 6: Final answer
    x = 174,416.10

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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.