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Finding the Fourth Proportional to 256,604.34, 354,124.80 and 143,427

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Solution

The fourth proportional to 256,604.34, 354,124.80 and 143,427 is: 197,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,604.34 : 354,124.80 = 143,427 : x
  2. Step 2: Convert to fraction form
    256,604.34/354,124.80 = 143,427/x
  3. Step 3: Cross multiply
    256,604.34x = 354,124.80 × 143,427
  4. Step 4: Simplify right side
    256,604.34x = 50,791,057,689.60
  5. Step 5: Solve for x
    x = 50,791,057,689.60/256,604.34
  6. Step 6: Final answer
    x = 197,935.30

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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.