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Finding the Fourth Proportional to 222,892.80, 334,382.40 and 96,532.80

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Solution

The fourth proportional to 222,892.80, 334,382.40 and 96,532.80 is: 144,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,892.80 : 334,382.40 = 96,532.80 : x
  2. Step 2: Convert to fraction form
    222,892.80/334,382.40 = 96,532.80/x
  3. Step 3: Cross multiply
    222,892.80x = 334,382.40 × 96,532.80
  4. Step 4: Simplify right side
    222,892.80x = 32,278,869,342.72
  5. Step 5: Solve for x
    x = 32,278,869,342.72/222,892.80
  6. Step 6: Final answer
    x = 144,817.91

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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.