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Finding the Fourth Proportional to 150,630.78, 207,863.46 and 82,646.22

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Solution

The fourth proportional to 150,630.78, 207,863.46 and 82,646.22 is: 114,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,630.78 : 207,863.46 = 82,646.22 : x
  2. Step 2: Convert to fraction form
    150,630.78/207,863.46 = 82,646.22/x
  3. Step 3: Cross multiply
    150,630.78x = 207,863.46 × 82,646.22
  4. Step 4: Simplify right side
    150,630.78x = 17,179,129,245.12
  5. Step 5: Solve for x
    x = 17,179,129,245.12/150,630.78
  6. Step 6: Final answer
    x = 114,047.93

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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.