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Finding the Fourth Proportional to 100,199.31, 150,350.40 and 44,078.46

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Solution

The fourth proportional to 100,199.31, 150,350.40 and 44,078.46 is: 66,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,199.31 : 150,350.40 = 44,078.46 : x
  2. Step 2: Convert to fraction form
    100,199.31/150,350.40 = 44,078.46/x
  3. Step 3: Cross multiply
    100,199.31x = 150,350.40 × 44,078.46
  4. Step 4: Simplify right side
    100,199.31x = 6,627,214,092.38
  5. Step 5: Solve for x
    x = 6,627,214,092.38/100,199.31
  6. Step 6: Final answer
    x = 66,140.32

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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.