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Finding the Fourth Proportional to 202,214.80, 303,212.85 and 83,898.10

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Solution

The fourth proportional to 202,214.80, 303,212.85 and 83,898.10 is: 125,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214.80 : 303,212.85 = 83,898.10 : x
  2. Step 2: Convert to fraction form
    202,214.80/303,212.85 = 83,898.10/x
  3. Step 3: Cross multiply
    202,214.80x = 303,212.85 × 83,898.10
  4. Step 4: Simplify right side
    202,214.80x = 25,438,982,010.59
  5. Step 5: Solve for x
    x = 25,438,982,010.59/202,214.80
  6. Step 6: Final answer
    x = 125,801.78

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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.