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Finding the Fourth Proportional to 203,267.34, 304,919.78 and 53,508.42

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Solution

The fourth proportional to 203,267.34, 304,919.78 and 53,508.42 is: 80,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,267.34 : 304,919.78 = 53,508.42 : x
  2. Step 2: Convert to fraction form
    203,267.34/304,919.78 = 53,508.42/x
  3. Step 3: Cross multiply
    203,267.34x = 304,919.78 × 53,508.42
  4. Step 4: Simplify right side
    203,267.34x = 16,315,775,387.01
  5. Step 5: Solve for x
    x = 16,315,775,387.01/203,267.34
  6. Step 6: Final answer
    x = 80,267.57

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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.