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Finding the Fourth Proportional to 256,815.38, 354,406.44 and 143,638.13

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Solution

The fourth proportional to 256,815.38, 354,406.44 and 143,638.13 is: 198,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,815.38 : 354,406.44 = 143,638.13 : x
  2. Step 2: Convert to fraction form
    256,815.38/354,406.44 = 143,638.13/x
  3. Step 3: Cross multiply
    256,815.38x = 354,406.44 × 143,638.13
  4. Step 4: Simplify right side
    256,815.38x = 50,906,276,529.53
  5. Step 5: Solve for x
    x = 50,906,276,529.53/256,815.38
  6. Step 6: Final answer
    x = 198,221.30

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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.