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Finding the Fourth Proportional to 180,555.16, 270,832.08 and 54,194.86

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Solution

The fourth proportional to 180,555.16, 270,832.08 and 54,194.86 is: 81,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,555.16 : 270,832.08 = 54,194.86 : x
  2. Step 2: Convert to fraction form
    180,555.16/270,832.08 = 54,194.86/x
  3. Step 3: Cross multiply
    180,555.16x = 270,832.08 × 54,194.86
  4. Step 4: Simplify right side
    180,555.16x = 14,677,706,659.11
  5. Step 5: Solve for x
    x = 14,677,706,659.11/180,555.16
  6. Step 6: Final answer
    x = 81,292.09

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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.