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Finding the Fourth Proportional to 125,874.32, 188,766.51 and 41,618.93

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Solution

The fourth proportional to 125,874.32, 188,766.51 and 41,618.93 is: 62,413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874.32 : 188,766.51 = 41,618.93 : x
  2. Step 2: Convert to fraction form
    125,874.32/188,766.51 = 41,618.93/x
  3. Step 3: Cross multiply
    125,874.32x = 188,766.51 × 41,618.93
  4. Step 4: Simplify right side
    125,874.32x = 7,856,260,166.03
  5. Step 5: Solve for x
    x = 7,856,260,166.03/125,874.32
  6. Step 6: Final answer
    x = 62,413.53

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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.