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Finding the Fourth Proportional to 256,100.70, 353,438.55 and 141,401.46

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Solution

The fourth proportional to 256,100.70, 353,438.55 and 141,401.46 is: 195,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,100.70 : 353,438.55 = 141,401.46 : x
  2. Step 2: Convert to fraction form
    256,100.70/353,438.55 = 141,401.46/x
  3. Step 3: Cross multiply
    256,100.70x = 353,438.55 × 141,401.46
  4. Step 4: Simplify right side
    256,100.70x = 49,976,726,990.28
  5. Step 5: Solve for x
    x = 49,976,726,990.28/256,100.70
  6. Step 6: Final answer
    x = 195,144.83

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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.