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Finding the Fourth Proportional to 188,000.38, 259,439.11 and 103,116.84

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Solution

The fourth proportional to 188,000.38, 259,439.11 and 103,116.84 is: 142,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,000.38 : 259,439.11 = 103,116.84 : x
  2. Step 2: Convert to fraction form
    188,000.38/259,439.11 = 103,116.84/x
  3. Step 3: Cross multiply
    188,000.38x = 259,439.11 × 103,116.84
  4. Step 4: Simplify right side
    188,000.38x = 26,752,541,195.61
  5. Step 5: Solve for x
    x = 26,752,541,195.61/188,000.38
  6. Step 6: Final answer
    x = 142,300.46

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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.