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Finding the Fourth Proportional to 206,632.16, 285,143.04 and 126,046.88

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Solution

The fourth proportional to 206,632.16, 285,143.04 and 126,046.88 is: 173,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,632.16 : 285,143.04 = 126,046.88 : x
  2. Step 2: Convert to fraction form
    206,632.16/285,143.04 = 126,046.88/x
  3. Step 3: Cross multiply
    206,632.16x = 285,143.04 × 126,046.88
  4. Step 4: Simplify right side
    206,632.16x = 35,941,390,545.72
  5. Step 5: Solve for x
    x = 35,941,390,545.72/206,632.16
  6. Step 6: Final answer
    x = 173,939.00

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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.