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Finding the Fourth Proportional to 257,132.88, 354,844.40 and 149,776.70

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Solution

The fourth proportional to 257,132.88, 354,844.40 and 149,776.70 is: 206,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,132.88 : 354,844.40 = 149,776.70 : x
  2. Step 2: Convert to fraction form
    257,132.88/354,844.40 = 149,776.70/x
  3. Step 3: Cross multiply
    257,132.88x = 354,844.40 × 149,776.70
  4. Step 4: Simplify right side
    257,132.88x = 53,147,420,722.37
  5. Step 5: Solve for x
    x = 53,147,420,722.37/257,132.88
  6. Step 6: Final answer
    x = 206,692.43

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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.