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Finding the Fourth Proportional to 202,661.40, 304,101.60 and 84,414.36

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Solution

The fourth proportional to 202,661.40, 304,101.60 and 84,414.36 is: 126,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,661.40 : 304,101.60 = 84,414.36 : x
  2. Step 2: Convert to fraction form
    202,661.40/304,101.60 = 84,414.36/x
  3. Step 3: Cross multiply
    202,661.40x = 304,101.60 × 84,414.36
  4. Step 4: Simplify right side
    202,661.40x = 25,670,541,938.98
  5. Step 5: Solve for x
    x = 25,670,541,938.98/202,661.40
  6. Step 6: Final answer
    x = 126,667.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.