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Finding the Fourth Proportional to 150,642.46, 225,960.85 and 36,792.10

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Solution

The fourth proportional to 150,642.46, 225,960.85 and 36,792.10 is: 55,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642.46 : 225,960.85 = 36,792.10 : x
  2. Step 2: Convert to fraction form
    150,642.46/225,960.85 = 36,792.10/x
  3. Step 3: Cross multiply
    150,642.46x = 225,960.85 × 36,792.10
  4. Step 4: Simplify right side
    150,642.46x = 8,313,574,189.29
  5. Step 5: Solve for x
    x = 8,313,574,189.29/150,642.46
  6. Step 6: Final answer
    x = 55,187.46

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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.