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Finding the Fourth Proportional to 180,267.20, 270,404.40 and 55,608

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Solution

The fourth proportional to 180,267.20, 270,404.40 and 55,608 is: 83,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,267.20 : 270,404.40 = 55,608 : x
  2. Step 2: Convert to fraction form
    180,267.20/270,404.40 = 55,608/x
  3. Step 3: Cross multiply
    180,267.20x = 270,404.40 × 55,608
  4. Step 4: Simplify right side
    180,267.20x = 15,036,647,875.20
  5. Step 5: Solve for x
    x = 15,036,647,875.20/180,267.20
  6. Step 6: Final answer
    x = 83,413.11

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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.