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Finding the Fourth Proportional to 225,803.50, 311,429.43 and 191,924.12

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Solution

The fourth proportional to 225,803.50, 311,429.43 and 191,924.12 is: 264,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,803.50 : 311,429.43 = 191,924.12 : x
  2. Step 2: Convert to fraction form
    225,803.50/311,429.43 = 191,924.12/x
  3. Step 3: Cross multiply
    225,803.50x = 311,429.43 × 191,924.12
  4. Step 4: Simplify right side
    225,803.50x = 59,770,820,073.43
  5. Step 5: Solve for x
    x = 59,770,820,073.43/225,803.50
  6. Step 6: Final answer
    x = 264,702.81

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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.