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Finding the Fourth Proportional to 201,231.82, 301,891.29 and 61,001.02

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Solution

The fourth proportional to 201,231.82, 301,891.29 and 61,001.02 is: 91,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,231.82 : 301,891.29 = 61,001.02 : x
  2. Step 2: Convert to fraction form
    201,231.82/301,891.29 = 61,001.02/x
  3. Step 3: Cross multiply
    201,231.82x = 301,891.29 × 61,001.02
  4. Step 4: Simplify right side
    201,231.82x = 18,415,676,619.12
  5. Step 5: Solve for x
    x = 18,415,676,619.12/201,231.82
  6. Step 6: Final answer
    x = 91,514.73

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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.