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Finding the Fourth Proportional to 150,614.32, 225,927.41 and 45,433.29

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Solution

The fourth proportional to 150,614.32, 225,927.41 and 45,433.29 is: 68,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,614.32 : 225,927.41 = 45,433.29 : x
  2. Step 2: Convert to fraction form
    150,614.32/225,927.41 = 45,433.29/x
  3. Step 3: Cross multiply
    150,614.32x = 225,927.41 × 45,433.29
  4. Step 4: Simplify right side
    150,614.32x = 10,264,625,537.48
  5. Step 5: Solve for x
    x = 10,264,625,537.48/150,614.32
  6. Step 6: Final answer
    x = 68,151.72

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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.