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Finding the Fourth Proportional to 225,634.83, 311,196.70 and 191,755.47

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Solution

The fourth proportional to 225,634.83, 311,196.70 and 191,755.47 is: 264,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,634.83 : 311,196.70 = 191,755.47 : x
  2. Step 2: Convert to fraction form
    225,634.83/311,196.70 = 191,755.47/x
  3. Step 3: Cross multiply
    225,634.83x = 311,196.70 × 191,755.47
  4. Step 4: Simplify right side
    225,634.83x = 59,673,668,528.93
  5. Step 5: Solve for x
    x = 59,673,668,528.93/225,634.83
  6. Step 6: Final answer
    x = 264,470.11

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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.