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Finding the Fourth Proportional to 150,213.46, 207,294.82 and 82,230.48

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Solution

The fourth proportional to 150,213.46, 207,294.82 and 82,230.48 is: 113,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,213.46 : 207,294.82 = 82,230.48 : x
  2. Step 2: Convert to fraction form
    150,213.46/207,294.82 = 82,230.48/x
  3. Step 3: Cross multiply
    150,213.46x = 207,294.82 × 82,230.48
  4. Step 4: Simplify right side
    150,213.46x = 17,045,952,550.11
  5. Step 5: Solve for x
    x = 17,045,952,550.11/150,213.46
  6. Step 6: Final answer
    x = 113,478.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.