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Finding the Fourth Proportional to 150,583.20, 207,805.16 and 82,600.80

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Solution

The fourth proportional to 150,583.20, 207,805.16 and 82,600.80 is: 113,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,583.20 : 207,805.16 = 82,600.80 : x
  2. Step 2: Convert to fraction form
    150,583.20/207,805.16 = 82,600.80/x
  3. Step 3: Cross multiply
    150,583.20x = 207,805.16 × 82,600.80
  4. Step 4: Simplify right side
    150,583.20x = 17,164,872,460.13
  5. Step 5: Solve for x
    x = 17,164,872,460.13/150,583.20
  6. Step 6: Final answer
    x = 113,989.29

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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.