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Finding the Fourth Proportional to 273,705.26, 377,705.90 and 152,843.18

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Solution

The fourth proportional to 273,705.26, 377,705.90 and 152,843.18 is: 210,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,705.26 : 377,705.90 = 152,843.18 : x
  2. Step 2: Convert to fraction form
    273,705.26/377,705.90 = 152,843.18/x
  3. Step 3: Cross multiply
    273,705.26x = 377,705.90 × 152,843.18
  4. Step 4: Simplify right side
    273,705.26x = 57,729,770,860.76
  5. Step 5: Solve for x
    x = 57,729,770,860.76/273,705.26
  6. Step 6: Final answer
    x = 210,919.48

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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.