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Finding the Fourth Proportional to 100,323.10, 150,569.70 and 41,201.20

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Solution

The fourth proportional to 100,323.10, 150,569.70 and 41,201.20 is: 61,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,323.10 : 150,569.70 = 41,201.20 : x
  2. Step 2: Convert to fraction form
    100,323.10/150,569.70 = 41,201.20/x
  3. Step 3: Cross multiply
    100,323.10x = 150,569.70 × 41,201.20
  4. Step 4: Simplify right side
    100,323.10x = 6,203,652,323.64
  5. Step 5: Solve for x
    x = 6,203,652,323.64/100,323.10
  6. Step 6: Final answer
    x = 61,836.73

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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.