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Finding the Fourth Proportional to 120,259.27, 180,359.74 and 50,100.31

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Solution

The fourth proportional to 120,259.27, 180,359.74 and 50,100.31 is: 75,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,259.27 : 180,359.74 = 50,100.31 : x
  2. Step 2: Convert to fraction form
    120,259.27/180,359.74 = 50,100.31/x
  3. Step 3: Cross multiply
    120,259.27x = 180,359.74 × 50,100.31
  4. Step 4: Simplify right side
    120,259.27x = 9,036,077,733.22
  5. Step 5: Solve for x
    x = 9,036,077,733.22/120,259.27
  6. Step 6: Final answer
    x = 75,138.31

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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.