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Finding the Fourth Proportional to 225,771.20, 311,567.77 and 123,805.97

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Solution

The fourth proportional to 225,771.20, 311,567.77 and 123,805.97 is: 170,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,771.20 : 311,567.77 = 123,805.97 : x
  2. Step 2: Convert to fraction form
    225,771.20/311,567.77 = 123,805.97/x
  3. Step 3: Cross multiply
    225,771.20x = 311,567.77 × 123,805.97
  4. Step 4: Simplify right side
    225,771.20x = 38,573,949,054.48
  5. Step 5: Solve for x
    x = 38,573,949,054.48/225,771.20
  6. Step 6: Final answer
    x = 170,854.16

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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.