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Finding the Fourth Proportional to 233,634.14, 322,414.90 and 126,204.14

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Solution

The fourth proportional to 233,634.14, 322,414.90 and 126,204.14 is: 174,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,634.14 : 322,414.90 = 126,204.14 : x
  2. Step 2: Convert to fraction form
    233,634.14/322,414.90 = 126,204.14/x
  3. Step 3: Cross multiply
    233,634.14x = 322,414.90 × 126,204.14
  4. Step 4: Simplify right side
    233,634.14x = 40,690,095,177.69
  5. Step 5: Solve for x
    x = 40,690,095,177.69/233,634.14
  6. Step 6: Final answer
    x = 174,161.60

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1.5x scale

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.