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Finding the Fourth Proportional to 206,847.40, 285,439.80 and 114,962.41

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Solution

The fourth proportional to 206,847.40, 285,439.80 and 114,962.41 is: 158,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,847.40 : 285,439.80 = 114,962.41 : x
  2. Step 2: Convert to fraction form
    206,847.40/285,439.80 = 114,962.41/x
  3. Step 3: Cross multiply
    206,847.40x = 285,439.80 × 114,962.41
  4. Step 4: Simplify right side
    206,847.40x = 32,814,847,317.92
  5. Step 5: Solve for x
    x = 32,814,847,317.92/206,847.40
  6. Step 6: Final answer
    x = 158,642.78

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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.