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Finding the Fourth Proportional to 143,182.50, 214,774.23 and 48,413.45

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Solution

The fourth proportional to 143,182.50, 214,774.23 and 48,413.45 is: 72,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,182.50 : 214,774.23 = 48,413.45 : x
  2. Step 2: Convert to fraction form
    143,182.50/214,774.23 = 48,413.45/x
  3. Step 3: Cross multiply
    143,182.50x = 214,774.23 × 48,413.45
  4. Step 4: Simplify right side
    143,182.50x = 10,397,960,371.52
  5. Step 5: Solve for x
    x = 10,397,960,371.52/143,182.50
  6. Step 6: Final answer
    x = 72,620.33

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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.