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Finding the Fourth Proportional to 202,308.70, 303,584.55 and 83,967.70

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Solution

The fourth proportional to 202,308.70, 303,584.55 and 83,967.70 is: 126,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,308.70 : 303,584.55 = 83,967.70 : x
  2. Step 2: Convert to fraction form
    202,308.70/303,584.55 = 83,967.70/x
  3. Step 3: Cross multiply
    202,308.70x = 303,584.55 × 83,967.70
  4. Step 4: Simplify right side
    202,308.70x = 25,491,296,419.04
  5. Step 5: Solve for x
    x = 25,491,296,419.04/202,308.70
  6. Step 6: Final answer
    x = 126,001.98

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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.