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Finding the Fourth Proportional to 159,413.25, 239,133.84 and 41,084.40

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Solution

The fourth proportional to 159,413.25, 239,133.84 and 41,084.40 is: 61,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,413.25 : 239,133.84 = 41,084.40 : x
  2. Step 2: Convert to fraction form
    159,413.25/239,133.84 = 41,084.40/x
  3. Step 3: Cross multiply
    159,413.25x = 239,133.84 × 41,084.40
  4. Step 4: Simplify right side
    159,413.25x = 9,824,670,336.10
  5. Step 5: Solve for x
    x = 9,824,670,336.10/159,413.25
  6. Step 6: Final answer
    x = 61,630.20

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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.