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Finding the Fourth Proportional to 150,630.50, 207,872.02 and 82,643.16

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Solution

The fourth proportional to 150,630.50, 207,872.02 and 82,643.16 is: 114,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,630.50 : 207,872.02 = 82,643.16 : x
  2. Step 2: Convert to fraction form
    150,630.50/207,872.02 = 82,643.16/x
  3. Step 3: Cross multiply
    150,630.50x = 207,872.02 × 82,643.16
  4. Step 4: Simplify right side
    150,630.50x = 17,179,200,608.38
  5. Step 5: Solve for x
    x = 17,179,200,608.38/150,630.50
  6. Step 6: Final answer
    x = 114,048.62

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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.