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Finding the Fourth Proportional to 80,109, 120,184.02 and 30,189.51

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Solution

The fourth proportional to 80,109, 120,184.02 and 30,189.51 is: 45,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,109 : 120,184.02 = 30,189.51 : x
  2. Step 2: Convert to fraction form
    80,109/120,184.02 = 30,189.51/x
  3. Step 3: Cross multiply
    80,109x = 120,184.02 × 30,189.51
  4. Step 4: Simplify right side
    80,109x = 3,628,296,673.63
  5. Step 5: Solve for x
    x = 3,628,296,673.63/80,109
  6. Step 6: Final answer
    x = 45,292.00

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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.