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Finding the Fourth Proportional to 262,542.84, 362,115.72 and 198,014.82

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Solution

The fourth proportional to 262,542.84, 362,115.72 and 198,014.82 is: 273,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,542.84 : 362,115.72 = 198,014.82 : x
  2. Step 2: Convert to fraction form
    262,542.84/362,115.72 = 198,014.82/x
  3. Step 3: Cross multiply
    262,542.84x = 362,115.72 × 198,014.82
  4. Step 4: Simplify right side
    262,542.84x = 71,704,279,114.97
  5. Step 5: Solve for x
    x = 71,704,279,114.97/262,542.84
  6. Step 6: Final answer
    x = 273,114.59

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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.