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Finding the Fourth Proportional to 180,998.80, 271,537.22 and 54,628.47

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Solution

The fourth proportional to 180,998.80, 271,537.22 and 54,628.47 is: 81,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,998.80 : 271,537.22 = 54,628.47 : x
  2. Step 2: Convert to fraction form
    180,998.80/271,537.22 = 54,628.47/x
  3. Step 3: Cross multiply
    180,998.80x = 271,537.22 × 54,628.47
  4. Step 4: Simplify right side
    180,998.80x = 14,833,662,876.65
  5. Step 5: Solve for x
    x = 14,833,662,876.65/180,998.80
  6. Step 6: Final answer
    x = 81,954.48

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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.