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Finding the Fourth Proportional to 262,585.74, 362,369.82 and 149,408.52

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Solution

The fourth proportional to 262,585.74, 362,369.82 and 149,408.52 is: 206,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,585.74 : 362,369.82 = 149,408.52 : x
  2. Step 2: Convert to fraction form
    262,585.74/362,369.82 = 149,408.52/x
  3. Step 3: Cross multiply
    262,585.74x = 362,369.82 × 149,408.52
  4. Step 4: Simplify right side
    262,585.74x = 54,141,138,498.87
  5. Step 5: Solve for x
    x = 54,141,138,498.87/262,585.74
  6. Step 6: Final answer
    x = 206,184.61

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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.