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Finding the Fourth Proportional to 202,434.76, 303,488.04 and 84,194.62

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Solution

The fourth proportional to 202,434.76, 303,488.04 and 84,194.62 is: 126,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,434.76 : 303,488.04 = 84,194.62 : x
  2. Step 2: Convert to fraction form
    202,434.76/303,488.04 = 84,194.62/x
  3. Step 3: Cross multiply
    202,434.76x = 303,488.04 × 84,194.62
  4. Step 4: Simplify right side
    202,434.76x = 25,552,060,202.34
  5. Step 5: Solve for x
    x = 25,552,060,202.34/202,434.76
  6. Step 6: Final answer
    x = 126,223.68

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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.