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Finding the Fourth Proportional to 180,652.16, 270,978.24 and 75,413.72

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Solution

The fourth proportional to 180,652.16, 270,978.24 and 75,413.72 is: 113,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,652.16 : 270,978.24 = 75,413.72 : x
  2. Step 2: Convert to fraction form
    180,652.16/270,978.24 = 75,413.72/x
  3. Step 3: Cross multiply
    180,652.16x = 270,978.24 × 75,413.72
  4. Step 4: Simplify right side
    180,652.16x = 20,435,475,762.56
  5. Step 5: Solve for x
    x = 20,435,475,762.56/180,652.16
  6. Step 6: Final answer
    x = 113,120.58

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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.