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Finding the Fourth Proportional to 202,165.80, 303,358.05 and 83,849.10

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Solution

The fourth proportional to 202,165.80, 303,358.05 and 83,849.10 is: 125,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.80 : 303,358.05 = 83,849.10 : x
  2. Step 2: Convert to fraction form
    202,165.80/303,358.05 = 83,849.10/x
  3. Step 3: Cross multiply
    202,165.80x = 303,358.05 × 83,849.10
  4. Step 4: Simplify right side
    202,165.80x = 25,436,299,470.26
  5. Step 5: Solve for x
    x = 25,436,299,470.26/202,165.80
  6. Step 6: Final answer
    x = 125,819.00

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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.