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Finding the Fourth Proportional to 180,468.30, 270,550.22 and 113,761.38

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Solution

The fourth proportional to 180,468.30, 270,550.22 and 113,761.38 is: 170,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468.30 : 270,550.22 = 113,761.38 : x
  2. Step 2: Convert to fraction form
    180,468.30/270,550.22 = 113,761.38/x
  3. Step 3: Cross multiply
    180,468.30x = 270,550.22 × 113,761.38
  4. Step 4: Simplify right side
    180,468.30x = 30,778,166,386.50
  5. Step 5: Solve for x
    x = 30,778,166,386.50/180,468.30
  6. Step 6: Final answer
    x = 170,546.11

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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.