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Finding the Fourth Proportional to 262,351.98, 362,012.49 and 149,177.16

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Solution

The fourth proportional to 262,351.98, 362,012.49 and 149,177.16 is: 205,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,351.98 : 362,012.49 = 149,177.16 : x
  2. Step 2: Convert to fraction form
    262,351.98/362,012.49 = 149,177.16/x
  3. Step 3: Cross multiply
    262,351.98x = 362,012.49 × 149,177.16
  4. Step 4: Simplify right side
    262,351.98x = 54,003,995,142.73
  5. Step 5: Solve for x
    x = 54,003,995,142.73/262,351.98
  6. Step 6: Final answer
    x = 205,845.58

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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.