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Finding the Fourth Proportional to 233,643.38, 322,427.45 and 126,213.08

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Solution

The fourth proportional to 233,643.38, 322,427.45 and 126,213.08 is: 174,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,643.38 : 322,427.45 = 126,213.08 : x
  2. Step 2: Convert to fraction form
    233,643.38/322,427.45 = 126,213.08/x
  3. Step 3: Cross multiply
    233,643.38x = 322,427.45 × 126,213.08
  4. Step 4: Simplify right side
    233,643.38x = 40,694,560,103.91
  5. Step 5: Solve for x
    x = 40,694,560,103.91/233,643.38
  6. Step 6: Final answer
    x = 174,173.82

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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.