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Finding the Fourth Proportional to 262,417.80, 393,665.10 and 137,768.20

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Solution

The fourth proportional to 262,417.80, 393,665.10 and 137,768.20 is: 206,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,417.80 : 393,665.10 = 137,768.20 : x
  2. Step 2: Convert to fraction form
    262,417.80/393,665.10 = 137,768.20/x
  3. Step 3: Cross multiply
    262,417.80x = 393,665.10 × 137,768.20
  4. Step 4: Simplify right side
    262,417.80x = 54,234,532,229.82
  5. Step 5: Solve for x
    x = 54,234,532,229.82/262,417.80
  6. Step 6: Final answer
    x = 206,672.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.