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Finding the Fourth Proportional to 233,960.62, 322,864.69 and 126,530.40

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Solution

The fourth proportional to 233,960.62, 322,864.69 and 126,530.40 is: 174,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,960.62 : 322,864.69 = 126,530.40 : x
  2. Step 2: Convert to fraction form
    233,960.62/322,864.69 = 126,530.40/x
  3. Step 3: Cross multiply
    233,960.62x = 322,864.69 × 126,530.40
  4. Step 4: Simplify right side
    233,960.62x = 40,852,198,371.58
  5. Step 5: Solve for x
    x = 40,852,198,371.58/233,960.62
  6. Step 6: Final answer
    x = 174,611.43

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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.