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Finding the Fourth Proportional to 202,262.42, 280,302.03 and 199,408.39

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Solution

The fourth proportional to 202,262.42, 280,302.03 and 199,408.39 is: 276,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,262.42 : 280,302.03 = 199,408.39 : x
  2. Step 2: Convert to fraction form
    202,262.42/280,302.03 = 199,408.39/x
  3. Step 3: Cross multiply
    202,262.42x = 280,302.03 × 199,408.39
  4. Step 4: Simplify right side
    202,262.42x = 55,894,575,815.28
  5. Step 5: Solve for x
    x = 55,894,575,815.28/202,262.42
  6. Step 6: Final answer
    x = 276,346.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.