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Finding the Fourth Proportional to 262,351.74, 362,043.71 and 149,174.48

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Solution

The fourth proportional to 262,351.74, 362,043.71 and 149,174.48 is: 205,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,351.74 : 362,043.71 = 149,174.48 : x
  2. Step 2: Convert to fraction form
    262,351.74/362,043.71 = 149,174.48/x
  3. Step 3: Cross multiply
    262,351.74x = 362,043.71 × 149,174.48
  4. Step 4: Simplify right side
    262,351.74x = 54,007,682,176.52
  5. Step 5: Solve for x
    x = 54,007,682,176.52/262,351.74
  6. Step 6: Final answer
    x = 205,859.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.