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Finding the Fourth Proportional to 146,560.20, 202,253.94 and 82,894.20

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Solution

The fourth proportional to 146,560.20, 202,253.94 and 82,894.20 is: 114,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,560.20 : 202,253.94 = 82,894.20 : x
  2. Step 2: Convert to fraction form
    146,560.20/202,253.94 = 82,894.20/x
  3. Step 3: Cross multiply
    146,560.20x = 202,253.94 × 82,894.20
  4. Step 4: Simplify right side
    146,560.20x = 16,765,678,553.15
  5. Step 5: Solve for x
    x = 16,765,678,553.15/146,560.20
  6. Step 6: Final answer
    x = 114,394.48

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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.