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Finding the Fourth Proportional to 233,817.29, 322,667.79 and 126,387.26

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Solution

The fourth proportional to 233,817.29, 322,667.79 and 126,387.26 is: 174,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,817.29 : 322,667.79 = 126,387.26 : x
  2. Step 2: Convert to fraction form
    233,817.29/322,667.79 = 126,387.26/x
  3. Step 3: Cross multiply
    233,817.29x = 322,667.79 × 126,387.26
  4. Step 4: Simplify right side
    233,817.29x = 40,781,097,868.36
  5. Step 5: Solve for x
    x = 40,781,097,868.36/233,817.29
  6. Step 6: Final answer
    x = 174,414.38

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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.