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Finding the Fourth Proportional to 120,214.30, 180,321.45 and 37,108.30

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Solution

The fourth proportional to 120,214.30, 180,321.45 and 37,108.30 is: 55,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214.30 : 180,321.45 = 37,108.30 : x
  2. Step 2: Convert to fraction form
    120,214.30/180,321.45 = 37,108.30/x
  3. Step 3: Cross multiply
    120,214.30x = 180,321.45 × 37,108.30
  4. Step 4: Simplify right side
    120,214.30x = 6,691,422,463.04
  5. Step 5: Solve for x
    x = 6,691,422,463.04/120,214.30
  6. Step 6: Final answer
    x = 55,662.45

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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.