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Finding the Fourth Proportional to 222,686.32, 334,073.16 and 82,446.16

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Solution

The fourth proportional to 222,686.32, 334,073.16 and 82,446.16 is: 123,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,686.32 : 334,073.16 = 82,446.16 : x
  2. Step 2: Convert to fraction form
    222,686.32/334,073.16 = 82,446.16/x
  3. Step 3: Cross multiply
    222,686.32x = 334,073.16 × 82,446.16
  4. Step 4: Simplify right side
    222,686.32x = 27,543,049,201.07
  5. Step 5: Solve for x
    x = 27,543,049,201.07/222,686.32
  6. Step 6: Final answer
    x = 123,685.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.