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Finding the Fourth Proportional to 280,243.14, 420,388.33 and 88,161.67

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Solution

The fourth proportional to 280,243.14, 420,388.33 and 88,161.67 is: 132,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,243.14 : 420,388.33 = 88,161.67 : x
  2. Step 2: Convert to fraction form
    280,243.14/420,388.33 = 88,161.67/x
  3. Step 3: Cross multiply
    280,243.14x = 420,388.33 × 88,161.67
  4. Step 4: Simplify right side
    280,243.14x = 37,062,135,327.01
  5. Step 5: Solve for x
    x = 37,062,135,327.01/280,243.14
  6. Step 6: Final answer
    x = 132,249.93

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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.