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Finding the Fourth Proportional to 100,659.40, 150,989.10 and 41,464.60

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Solution

The fourth proportional to 100,659.40, 150,989.10 and 41,464.60 is: 62,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,659.40 : 150,989.10 = 41,464.60 : x
  2. Step 2: Convert to fraction form
    100,659.40/150,989.10 = 41,464.60/x
  3. Step 3: Cross multiply
    100,659.40x = 150,989.10 × 41,464.60
  4. Step 4: Simplify right side
    100,659.40x = 6,260,702,635.86
  5. Step 5: Solve for x
    x = 6,260,702,635.86/100,659.40
  6. Step 6: Final answer
    x = 62,196.90

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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.