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Finding the Fourth Proportional to 256,099.45, 353,436.83 and 141,400.21

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Solution

The fourth proportional to 256,099.45, 353,436.83 and 141,400.21 is: 195,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.45 : 353,436.83 = 141,400.21 : x
  2. Step 2: Convert to fraction form
    256,099.45/353,436.83 = 141,400.21/x
  3. Step 3: Cross multiply
    256,099.45x = 353,436.83 × 141,400.21
  4. Step 4: Simplify right side
    256,099.45x = 49,976,041,276.73
  5. Step 5: Solve for x
    x = 49,976,041,276.73/256,099.45
  6. Step 6: Final answer
    x = 195,143.10

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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.