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Finding the Fourth Proportional to 206,711.58, 285,276.04 and 114,841.38

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Solution

The fourth proportional to 206,711.58, 285,276.04 and 114,841.38 is: 158,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,711.58 : 285,276.04 = 114,841.38 : x
  2. Step 2: Convert to fraction form
    206,711.58/285,276.04 = 114,841.38/x
  3. Step 3: Cross multiply
    206,711.58x = 285,276.04 × 114,841.38
  4. Step 4: Simplify right side
    206,711.58x = 32,761,493,827.43
  5. Step 5: Solve for x
    x = 32,761,493,827.43/206,711.58
  6. Step 6: Final answer
    x = 158,488.91

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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.