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Finding the Fourth Proportional to 215,413.92, 297,264.24 and 119,917.44

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Solution

The fourth proportional to 215,413.92, 297,264.24 and 119,917.44 is: 165,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,413.92 : 297,264.24 = 119,917.44 : x
  2. Step 2: Convert to fraction form
    215,413.92/297,264.24 = 119,917.44/x
  3. Step 3: Cross multiply
    215,413.92x = 297,264.24 × 119,917.44
  4. Step 4: Simplify right side
    215,413.92x = 35,647,166,664.35
  5. Step 5: Solve for x
    x = 35,647,166,664.35/215,413.92
  6. Step 6: Final answer
    x = 165,482.19

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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.