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Finding the Fourth Proportional to 180,455.91, 270,721.22 and 54,091.05

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Solution

The fourth proportional to 180,455.91, 270,721.22 and 54,091.05 is: 81,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,455.91 : 270,721.22 = 54,091.05 : x
  2. Step 2: Convert to fraction form
    180,455.91/270,721.22 = 54,091.05/x
  3. Step 3: Cross multiply
    180,455.91x = 270,721.22 × 54,091.05
  4. Step 4: Simplify right side
    180,455.91x = 14,643,595,047.08
  5. Step 5: Solve for x
    x = 14,643,595,047.08/180,455.91
  6. Step 6: Final answer
    x = 81,147.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.