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Finding the Fourth Proportional to 256,557.38, 354,060.11 and 143,380.13

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Solution

The fourth proportional to 256,557.38, 354,060.11 and 143,380.13 is: 197,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,557.38 : 354,060.11 = 143,380.13 : x
  2. Step 2: Convert to fraction form
    256,557.38/354,060.11 = 143,380.13/x
  3. Step 3: Cross multiply
    256,557.38x = 354,060.11 × 143,380.13
  4. Step 4: Simplify right side
    256,557.38x = 50,765,183,187.76
  5. Step 5: Solve for x
    x = 50,765,183,187.76/256,557.38
  6. Step 6: Final answer
    x = 197,870.68

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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.