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Finding the Fourth Proportional to 257,217.80, 354,952.30 and 142,491.76

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Solution

The fourth proportional to 257,217.80, 354,952.30 and 142,491.76 is: 196,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,217.80 : 354,952.30 = 142,491.76 : x
  2. Step 2: Convert to fraction form
    257,217.80/354,952.30 = 142,491.76/x
  3. Step 3: Cross multiply
    257,217.80x = 354,952.30 × 142,491.76
  4. Step 4: Simplify right side
    257,217.80x = 50,577,777,943.05
  5. Step 5: Solve for x
    x = 50,577,777,943.05/257,217.80
  6. Step 6: Final answer
    x = 196,634.05

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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.