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Finding the Fourth Proportional to 234,703.92, 324,068.80 and 144,183.92

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Solution

The fourth proportional to 234,703.92, 324,068.80 and 144,183.92 is: 199,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,703.92 : 324,068.80 = 144,183.92 : x
  2. Step 2: Convert to fraction form
    234,703.92/324,068.80 = 144,183.92/x
  3. Step 3: Cross multiply
    234,703.92x = 324,068.80 × 144,183.92
  4. Step 4: Simplify right side
    234,703.92x = 46,725,509,933.70
  5. Step 5: Solve for x
    x = 46,725,509,933.70/234,703.92
  6. Step 6: Final answer
    x = 199,082.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.