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Finding the Fourth Proportional to 202,419.19, 303,296.45 and 69,226.78

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Solution

The fourth proportional to 202,419.19, 303,296.45 and 69,226.78 is: 103,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419.19 : 303,296.45 = 69,226.78 : x
  2. Step 2: Convert to fraction form
    202,419.19/303,296.45 = 69,226.78/x
  3. Step 3: Cross multiply
    202,419.19x = 303,296.45 × 69,226.78
  4. Step 4: Simplify right side
    202,419.19x = 20,996,234,756.31
  5. Step 5: Solve for x
    x = 20,996,234,756.31/202,419.19
  6. Step 6: Final answer
    x = 103,726.51

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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.