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Finding the Fourth Proportional to 100,563.10, 150,929.70 and 41,441.20

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Solution

The fourth proportional to 100,563.10, 150,929.70 and 41,441.20 is: 62,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,563.10 : 150,929.70 = 41,441.20 : x
  2. Step 2: Convert to fraction form
    100,563.10/150,929.70 = 41,441.20/x
  3. Step 3: Cross multiply
    100,563.10x = 150,929.70 × 41,441.20
  4. Step 4: Simplify right side
    100,563.10x = 6,254,707,883.64
  5. Step 5: Solve for x
    x = 6,254,707,883.64/100,563.10
  6. Step 6: Final answer
    x = 62,196.85

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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.