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Finding the Fourth Proportional to 147,841.88, 221,850.32 and 54,413.24

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Solution

The fourth proportional to 147,841.88, 221,850.32 and 54,413.24 is: 81,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,841.88 : 221,850.32 = 54,413.24 : x
  2. Step 2: Convert to fraction form
    147,841.88/221,850.32 = 54,413.24/x
  3. Step 3: Cross multiply
    147,841.88x = 221,850.32 × 54,413.24
  4. Step 4: Simplify right side
    147,841.88x = 12,071,594,706.24
  5. Step 5: Solve for x
    x = 12,071,594,706.24/147,841.88
  6. Step 6: Final answer
    x = 81,652.06

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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.