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Finding the Fourth Proportional to 222,382.60, 333,617.10 and 96,022.60

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Solution

The fourth proportional to 222,382.60, 333,617.10 and 96,022.60 is: 144,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,382.60 : 333,617.10 = 96,022.60 : x
  2. Step 2: Convert to fraction form
    222,382.60/333,617.10 = 96,022.60/x
  3. Step 3: Cross multiply
    222,382.60x = 333,617.10 × 96,022.60
  4. Step 4: Simplify right side
    222,382.60x = 32,034,781,346.46
  5. Step 5: Solve for x
    x = 32,034,781,346.46/222,382.60
  6. Step 6: Final answer
    x = 144,052.55

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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.