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Finding the Fourth Proportional to 180,104.01, 269,914.52 and 140,171.21

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Solution

The fourth proportional to 180,104.01, 269,914.52 and 140,171.21 is: 210,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,104.01 : 269,914.52 = 140,171.21 : x
  2. Step 2: Convert to fraction form
    180,104.01/269,914.52 = 140,171.21/x
  3. Step 3: Cross multiply
    180,104.01x = 269,914.52 × 140,171.21
  4. Step 4: Simplify right side
    180,104.01x = 37,834,242,814.54
  5. Step 5: Solve for x
    x = 37,834,242,814.54/180,104.01
  6. Step 6: Final answer
    x = 210,068.85

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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.