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Finding the Fourth Proportional to 222,934.32, 334,245.96 and 82,655.28

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Solution

The fourth proportional to 222,934.32, 334,245.96 and 82,655.28 is: 123,925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,934.32 : 334,245.96 = 82,655.28 : x
  2. Step 2: Convert to fraction form
    222,934.32/334,245.96 = 82,655.28/x
  3. Step 3: Cross multiply
    222,934.32x = 334,245.96 × 82,655.28
  4. Step 4: Simplify right side
    222,934.32x = 27,627,193,412.67
  5. Step 5: Solve for x
    x = 27,627,193,412.67/222,934.32
  6. Step 6: Final answer
    x = 123,925.26

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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.