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Finding the Fourth Proportional to 120,622.56, 180,945.36 and 54,060

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Solution

The fourth proportional to 120,622.56, 180,945.36 and 54,060 is: 81,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,622.56 : 180,945.36 = 54,060 : x
  2. Step 2: Convert to fraction form
    120,622.56/180,945.36 = 54,060/x
  3. Step 3: Cross multiply
    120,622.56x = 180,945.36 × 54,060
  4. Step 4: Simplify right side
    120,622.56x = 9,781,906,161.60
  5. Step 5: Solve for x
    x = 9,781,906,161.60/120,622.56
  6. Step 6: Final answer
    x = 81,095.16

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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.