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Finding the Fourth Proportional to 188,238.78, 282,413.46 and 75,861.16

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Solution

The fourth proportional to 188,238.78, 282,413.46 and 75,861.16 is: 113,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,238.78 : 282,413.46 = 75,861.16 : x
  2. Step 2: Convert to fraction form
    188,238.78/282,413.46 = 75,861.16/x
  3. Step 3: Cross multiply
    188,238.78x = 282,413.46 × 75,861.16
  4. Step 4: Simplify right side
    188,238.78x = 21,424,212,675.21
  5. Step 5: Solve for x
    x = 21,424,212,675.21/188,238.78
  6. Step 6: Final answer
    x = 113,814.02

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1.5x scale

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.