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Finding the Fourth Proportional to 120,309.26, 180,473.60 and 37,203.26

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Solution

The fourth proportional to 120,309.26, 180,473.60 and 37,203.26 is: 55,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,309.26 : 180,473.60 = 37,203.26 : x
  2. Step 2: Convert to fraction form
    120,309.26/180,473.60 = 37,203.26/x
  3. Step 3: Cross multiply
    120,309.26x = 180,473.60 × 37,203.26
  4. Step 4: Simplify right side
    120,309.26x = 6,714,206,263.94
  5. Step 5: Solve for x
    x = 6,714,206,263.94/120,309.26
  6. Step 6: Final answer
    x = 55,807.89

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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.