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Finding the Fourth Proportional to 301,249.53, 451,863.36 and 90,882

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Solution

The fourth proportional to 301,249.53, 451,863.36 and 90,882 is: 136,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,249.53 : 451,863.36 = 90,882 : x
  2. Step 2: Convert to fraction form
    301,249.53/451,863.36 = 90,882/x
  3. Step 3: Cross multiply
    301,249.53x = 451,863.36 × 90,882
  4. Step 4: Simplify right side
    301,249.53x = 41,066,245,883.52
  5. Step 5: Solve for x
    x = 41,066,245,883.52/301,249.53
  6. Step 6: Final answer
    x = 136,319.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.