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Finding the Fourth Proportional to 150,561, 225,856.62 and 39,753

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Solution

The fourth proportional to 150,561, 225,856.62 and 39,753 is: 59,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,561 : 225,856.62 = 39,753 : x
  2. Step 2: Convert to fraction form
    150,561/225,856.62 = 39,753/x
  3. Step 3: Cross multiply
    150,561x = 225,856.62 × 39,753
  4. Step 4: Simplify right side
    150,561x = 8,978,478,214.86
  5. Step 5: Solve for x
    x = 8,978,478,214.86/150,561
  6. Step 6: Final answer
    x = 59,633.49

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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.