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Finding the Fourth Proportional to 150,969.32, 226,454 and 67,766.12

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Solution

The fourth proportional to 150,969.32, 226,454 and 67,766.12 is: 101,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,969.32 : 226,454 = 67,766.12 : x
  2. Step 2: Convert to fraction form
    150,969.32/226,454 = 67,766.12/x
  3. Step 3: Cross multiply
    150,969.32x = 226,454 × 67,766.12
  4. Step 4: Simplify right side
    150,969.32x = 15,345,908,938.48
  5. Step 5: Solve for x
    x = 15,345,908,938.48/150,969.32
  6. Step 6: Final answer
    x = 101,649.19

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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.