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Finding the Fourth Proportional to 256,593.84, 354,099.96 and 143,421.36

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Solution

The fourth proportional to 256,593.84, 354,099.96 and 143,421.36 is: 197,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,593.84 : 354,099.96 = 143,421.36 : x
  2. Step 2: Convert to fraction form
    256,593.84/354,099.96 = 143,421.36/x
  3. Step 3: Cross multiply
    256,593.84x = 354,099.96 × 143,421.36
  4. Step 4: Simplify right side
    256,593.84x = 50,785,497,839.15
  5. Step 5: Solve for x
    x = 50,785,497,839.15/256,593.84
  6. Step 6: Final answer
    x = 197,921.73

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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.