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Finding the Fourth Proportional to 206,998.62, 285,656.67 and 117,574.62

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Solution

The fourth proportional to 206,998.62, 285,656.67 and 117,574.62 is: 162,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,998.62 : 285,656.67 = 117,574.62 : x
  2. Step 2: Convert to fraction form
    206,998.62/285,656.67 = 117,574.62/x
  3. Step 3: Cross multiply
    206,998.62x = 285,656.67 × 117,574.62
  4. Step 4: Simplify right side
    206,998.62x = 33,585,974,425.72
  5. Step 5: Solve for x
    x = 33,585,974,425.72/206,998.62
  6. Step 6: Final answer
    x = 162,252.17

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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.