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Finding the Fourth Proportional to 222,543, 333,945.72 and 82,400.04

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Solution

The fourth proportional to 222,543, 333,945.72 and 82,400.04 is: 123,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,543 : 333,945.72 = 82,400.04 : x
  2. Step 2: Convert to fraction form
    222,543/333,945.72 = 82,400.04/x
  3. Step 3: Cross multiply
    222,543x = 333,945.72 × 82,400.04
  4. Step 4: Simplify right side
    222,543x = 27,517,140,685.83
  5. Step 5: Solve for x
    x = 27,517,140,685.83/222,543
  6. Step 6: Final answer
    x = 123,648.65

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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.