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Finding the Fourth Proportional to 256,503.57, 353,974.17 and 143,326.41

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Solution

The fourth proportional to 256,503.57, 353,974.17 and 143,326.41 is: 197,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,503.57 : 353,974.17 = 143,326.41 : x
  2. Step 2: Convert to fraction form
    256,503.57/353,974.17 = 143,326.41/x
  3. Step 3: Cross multiply
    256,503.57x = 353,974.17 × 143,326.41
  4. Step 4: Simplify right side
    256,503.57x = 50,733,847,018.83
  5. Step 5: Solve for x
    x = 50,733,847,018.83/256,503.57
  6. Step 6: Final answer
    x = 197,790.02

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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.