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Finding the Fourth Proportional to 159,413.98, 219,997.14 and 99,017.92

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Solution

The fourth proportional to 159,413.98, 219,997.14 and 99,017.92 is: 136,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,413.98 : 219,997.14 = 99,017.92 : x
  2. Step 2: Convert to fraction form
    159,413.98/219,997.14 = 99,017.92/x
  3. Step 3: Cross multiply
    159,413.98x = 219,997.14 × 99,017.92
  4. Step 4: Simplify right side
    159,413.98x = 21,783,659,208.75
  5. Step 5: Solve for x
    x = 21,783,659,208.75/159,413.98
  6. Step 6: Final answer
    x = 136,648.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.