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Finding the Fourth Proportional to 200,687.52, 301,081.26 and 141,638.52

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Solution

The fourth proportional to 200,687.52, 301,081.26 and 141,638.52 is: 212,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,687.52 : 301,081.26 = 141,638.52 : x
  2. Step 2: Convert to fraction form
    200,687.52/301,081.26 = 141,638.52/x
  3. Step 3: Cross multiply
    200,687.52x = 301,081.26 × 141,638.52
  4. Step 4: Simplify right side
    200,687.52x = 42,644,704,066.14
  5. Step 5: Solve for x
    x = 42,644,704,066.14/200,687.52
  6. Step 6: Final answer
    x = 212,493.05

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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.