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Finding the Fourth Proportional to 201,186.99, 301,780.35 and 51,427.44

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Solution

The fourth proportional to 201,186.99, 301,780.35 and 51,427.44 is: 77,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,186.99 : 301,780.35 = 51,427.44 : x
  2. Step 2: Convert to fraction form
    201,186.99/301,780.35 = 51,427.44/x
  3. Step 3: Cross multiply
    201,186.99x = 301,780.35 × 51,427.44
  4. Step 4: Simplify right side
    201,186.99x = 15,519,790,842.80
  5. Step 5: Solve for x
    x = 15,519,790,842.80/201,186.99
  6. Step 6: Final answer
    x = 77,141.13

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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.