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Finding the Fourth Proportional to 150,612.96, 225,921 and 45,432.84

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Solution

The fourth proportional to 150,612.96, 225,921 and 45,432.84 is: 68,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,612.96 : 225,921 = 45,432.84 : x
  2. Step 2: Convert to fraction form
    150,612.96/225,921 = 45,432.84/x
  3. Step 3: Cross multiply
    150,612.96x = 225,921 × 45,432.84
  4. Step 4: Simplify right side
    150,612.96x = 10,264,232,645.64
  5. Step 5: Solve for x
    x = 10,264,232,645.64/150,612.96
  6. Step 6: Final answer
    x = 68,149.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.