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Finding the Fourth Proportional to 206,732.72, 285,322.38 and 126,207.20

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Solution

The fourth proportional to 206,732.72, 285,322.38 and 126,207.20 is: 174,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,732.72 : 285,322.38 = 126,207.20 : x
  2. Step 2: Convert to fraction form
    206,732.72/285,322.38 = 126,207.20/x
  3. Step 3: Cross multiply
    206,732.72x = 285,322.38 × 126,207.20
  4. Step 4: Simplify right side
    206,732.72x = 36,009,738,677.14
  5. Step 5: Solve for x
    x = 36,009,738,677.14/206,732.72
  6. Step 6: Final answer
    x = 174,185.00

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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.