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Finding the Fourth Proportional to 206,866.13, 285,479.03 and 114,994.04

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Solution

The fourth proportional to 206,866.13, 285,479.03 and 114,994.04 is: 158,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,866.13 : 285,479.03 = 114,994.04 : x
  2. Step 2: Convert to fraction form
    206,866.13/285,479.03 = 114,994.04/x
  3. Step 3: Cross multiply
    206,866.13x = 285,479.03 × 114,994.04
  4. Step 4: Simplify right side
    206,866.13x = 32,828,385,855.07
  5. Step 5: Solve for x
    x = 32,828,385,855.07/206,866.13
  6. Step 6: Final answer
    x = 158,693.87

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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.