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Finding the Fourth Proportional to 127,850.67, 191,768.09 and 39,097.17

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Solution

The fourth proportional to 127,850.67, 191,768.09 and 39,097.17 is: 58,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,850.67 : 191,768.09 = 39,097.17 : x
  2. Step 2: Convert to fraction form
    127,850.67/191,768.09 = 39,097.17/x
  3. Step 3: Cross multiply
    127,850.67x = 191,768.09 × 39,097.17
  4. Step 4: Simplify right side
    127,850.67x = 7,497,589,419.82
  5. Step 5: Solve for x
    x = 7,497,589,419.82/127,850.67
  6. Step 6: Final answer
    x = 58,643.33

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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.