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Finding the Fourth Proportional to 188,842.70, 283,592.10 and 100,269.20

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Solution

The fourth proportional to 188,842.70, 283,592.10 and 100,269.20 is: 150,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,842.70 : 283,592.10 = 100,269.20 : x
  2. Step 2: Convert to fraction form
    188,842.70/283,592.10 = 100,269.20/x
  3. Step 3: Cross multiply
    188,842.70x = 283,592.10 × 100,269.20
  4. Step 4: Simplify right side
    188,842.70x = 28,435,552,993.32
  5. Step 5: Solve for x
    x = 28,435,552,993.32/188,842.70
  6. Step 6: Final answer
    x = 150,577.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.