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Finding the Fourth Proportional to 233,266.14, 322,062.21 and 179,456.22

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Solution

The fourth proportional to 233,266.14, 322,062.21 and 179,456.22 is: 247,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,266.14 : 322,062.21 = 179,456.22 : x
  2. Step 2: Convert to fraction form
    233,266.14/322,062.21 = 179,456.22/x
  3. Step 3: Cross multiply
    233,266.14x = 322,062.21 × 179,456.22
  4. Step 4: Simplify right side
    233,266.14x = 57,796,066,811.45
  5. Step 5: Solve for x
    x = 57,796,066,811.45/233,266.14
  6. Step 6: Final answer
    x = 247,768.78

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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.