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Finding the Fourth Proportional to 208,413.38, 312,695.40 and 81,983.82

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Solution

The fourth proportional to 208,413.38, 312,695.40 and 81,983.82 is: 123,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,413.38 : 312,695.40 = 81,983.82 : x
  2. Step 2: Convert to fraction form
    208,413.38/312,695.40 = 81,983.82/x
  3. Step 3: Cross multiply
    208,413.38x = 312,695.40 × 81,983.82
  4. Step 4: Simplify right side
    208,413.38x = 25,635,963,388.43
  5. Step 5: Solve for x
    x = 25,635,963,388.43/208,413.38
  6. Step 6: Final answer
    x = 123,005.36

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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.