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Finding the Fourth Proportional to 256,121.72, 353,467.52 and 141,422.48

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Solution

The fourth proportional to 256,121.72, 353,467.52 and 141,422.48 is: 195,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,121.72 : 353,467.52 = 141,422.48 : x
  2. Step 2: Convert to fraction form
    256,121.72/353,467.52 = 141,422.48/x
  3. Step 3: Cross multiply
    256,121.72x = 353,467.52 × 141,422.48
  4. Step 4: Simplify right side
    256,121.72x = 49,988,253,277.85
  5. Step 5: Solve for x
    x = 49,988,253,277.85/256,121.72
  6. Step 6: Final answer
    x = 195,173.82

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