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Finding the Fourth Proportional to 100,215.36, 150,251.76 and 50,259.36

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Solution

The fourth proportional to 100,215.36, 150,251.76 and 50,259.36 is: 75,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,215.36 : 150,251.76 = 50,259.36 : x
  2. Step 2: Convert to fraction form
    100,215.36/150,251.76 = 50,259.36/x
  3. Step 3: Cross multiply
    100,215.36x = 150,251.76 × 50,259.36
  4. Step 4: Simplify right side
    100,215.36x = 7,551,557,296.47
  5. Step 5: Solve for x
    x = 7,551,557,296.47/100,215.36
  6. Step 6: Final answer
    x = 75,353.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.