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Finding the Fourth Proportional to 100,661.92, 150,882.16 and 41,465.30

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Solution

The fourth proportional to 100,661.92, 150,882.16 and 41,465.30 is: 62,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,661.92 : 150,882.16 = 41,465.30 : x
  2. Step 2: Convert to fraction form
    100,661.92/150,882.16 = 41,465.30/x
  3. Step 3: Cross multiply
    100,661.92x = 150,882.16 × 41,465.30
  4. Step 4: Simplify right side
    100,661.92x = 6,256,374,029.05
  5. Step 5: Solve for x
    x = 6,256,374,029.05/100,661.92
  6. Step 6: Final answer
    x = 62,152.34

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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.