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Finding the Fourth Proportional to 150,398.73, 225,589.78 and 50,548.61

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Solution

The fourth proportional to 150,398.73, 225,589.78 and 50,548.61 is: 75,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,398.73 : 225,589.78 = 50,548.61 : x
  2. Step 2: Convert to fraction form
    150,398.73/225,589.78 = 50,548.61/x
  3. Step 3: Cross multiply
    150,398.73x = 225,589.78 × 50,548.61
  4. Step 4: Simplify right side
    150,398.73x = 11,403,249,809.21
  5. Step 5: Solve for x
    x = 11,403,249,809.21/150,398.73
  6. Step 6: Final answer
    x = 75,820.12

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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.