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Finding the Fourth Proportional to 188,568.68, 260,231.46 and 103,692.20

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Solution

The fourth proportional to 188,568.68, 260,231.46 and 103,692.20 is: 143,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,568.68 : 260,231.46 = 103,692.20 : x
  2. Step 2: Convert to fraction form
    188,568.68/260,231.46 = 103,692.20/x
  3. Step 3: Cross multiply
    188,568.68x = 260,231.46 × 103,692.20
  4. Step 4: Simplify right side
    188,568.68x = 26,983,972,596.61
  5. Step 5: Solve for x
    x = 26,983,972,596.61/188,568.68
  6. Step 6: Final answer
    x = 143,098.91

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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.