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Finding the Fourth Proportional to 200,872.50, 301,326.43 and 74,514.12

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Solution

The fourth proportional to 200,872.50, 301,326.43 and 74,514.12 is: 111,777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,872.50 : 301,326.43 = 74,514.12 : x
  2. Step 2: Convert to fraction form
    200,872.50/301,326.43 = 74,514.12/x
  3. Step 3: Cross multiply
    200,872.50x = 301,326.43 × 74,514.12
  4. Step 4: Simplify right side
    200,872.50x = 22,453,073,764.19
  5. Step 5: Solve for x
    x = 22,453,073,764.19/200,872.50
  6. Step 6: Final answer
    x = 111,777.74

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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.