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Finding the Fourth Proportional to 256,093.20, 353,428.20 and 141,393.96

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Solution

The fourth proportional to 256,093.20, 353,428.20 and 141,393.96 is: 195,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,093.20 : 353,428.20 = 141,393.96 : x
  2. Step 2: Convert to fraction form
    256,093.20/353,428.20 = 141,393.96/x
  3. Step 3: Cross multiply
    256,093.20x = 353,428.20 × 141,393.96
  4. Step 4: Simplify right side
    256,093.20x = 49,972,612,773.67
  5. Step 5: Solve for x
    x = 49,972,612,773.67/256,093.20
  6. Step 6: Final answer
    x = 195,134.48

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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.