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Finding the Fourth Proportional to 206,723.28, 285,669.72 and 176,092.08

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Solution

The fourth proportional to 206,723.28, 285,669.72 and 176,092.08 is: 243,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,723.28 : 285,669.72 = 176,092.08 : x
  2. Step 2: Convert to fraction form
    206,723.28/285,669.72 = 176,092.08/x
  3. Step 3: Cross multiply
    206,723.28x = 285,669.72 × 176,092.08
  4. Step 4: Simplify right side
    206,723.28x = 50,304,175,187.82
  5. Step 5: Solve for x
    x = 50,304,175,187.82/206,723.28
  6. Step 6: Final answer
    x = 243,340.64

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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.