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Finding the Fourth Proportional to 109,413.54, 164,054.70 and 50,175

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Solution

The fourth proportional to 109,413.54, 164,054.70 and 50,175 is: 75,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,413.54 : 164,054.70 = 50,175 : x
  2. Step 2: Convert to fraction form
    109,413.54/164,054.70 = 50,175/x
  3. Step 3: Cross multiply
    109,413.54x = 164,054.70 × 50,175
  4. Step 4: Simplify right side
    109,413.54x = 8,231,444,572.50
  5. Step 5: Solve for x
    x = 8,231,444,572.50/109,413.54
  6. Step 6: Final answer
    x = 75,232.41

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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.