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Finding the Fourth Proportional to 256,776.27, 354,369.92 and 143,635.47

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Solution

The fourth proportional to 256,776.27, 354,369.92 and 143,635.47 is: 198,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,776.27 : 354,369.92 = 143,635.47 : x
  2. Step 2: Convert to fraction form
    256,776.27/354,369.92 = 143,635.47/x
  3. Step 3: Cross multiply
    256,776.27x = 354,369.92 × 143,635.47
  4. Step 4: Simplify right side
    256,776.27x = 50,900,089,294.89
  5. Step 5: Solve for x
    x = 50,900,089,294.89/256,776.27
  6. Step 6: Final answer
    x = 198,227.39

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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.