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Finding the Fourth Proportional to 150,078.24, 207,101.12 and 82,094.24

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Solution

The fourth proportional to 150,078.24, 207,101.12 and 82,094.24 is: 113,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,078.24 : 207,101.12 = 82,094.24 : x
  2. Step 2: Convert to fraction form
    150,078.24/207,101.12 = 82,094.24/x
  3. Step 3: Cross multiply
    150,078.24x = 207,101.12 × 82,094.24
  4. Step 4: Simplify right side
    150,078.24x = 17,001,809,049.55
  5. Step 5: Solve for x
    x = 17,001,809,049.55/150,078.24
  6. Step 6: Final answer
    x = 113,286.30

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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.