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Finding the Fourth Proportional to 256,596.34, 354,087.80 and 141,865.99

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Solution

The fourth proportional to 256,596.34, 354,087.80 and 141,865.99 is: 195,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,596.34 : 354,087.80 = 141,865.99 : x
  2. Step 2: Convert to fraction form
    256,596.34/354,087.80 = 141,865.99/x
  3. Step 3: Cross multiply
    256,596.34x = 354,087.80 × 141,865.99
  4. Step 4: Simplify right side
    256,596.34x = 50,233,016,293.92
  5. Step 5: Solve for x
    x = 50,233,016,293.92/256,596.34
  6. Step 6: Final answer
    x = 195,766.69

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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.