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Finding the Fourth Proportional to 221,364.24, 305,479.80 and 120,755.76

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Solution

The fourth proportional to 221,364.24, 305,479.80 and 120,755.76 is: 166,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,364.24 : 305,479.80 = 120,755.76 : x
  2. Step 2: Convert to fraction form
    221,364.24/305,479.80 = 120,755.76/x
  3. Step 3: Cross multiply
    221,364.24x = 305,479.80 × 120,755.76
  4. Step 4: Simplify right side
    221,364.24x = 36,888,445,413.65
  5. Step 5: Solve for x
    x = 36,888,445,413.65/221,364.24
  6. Step 6: Final answer
    x = 166,641.39

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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.