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Finding the Fourth Proportional to 202,118.80, 303,178.20 and 148,974.70

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Solution

The fourth proportional to 202,118.80, 303,178.20 and 148,974.70 is: 223,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,118.80 : 303,178.20 = 148,974.70 : x
  2. Step 2: Convert to fraction form
    202,118.80/303,178.20 = 148,974.70/x
  3. Step 3: Cross multiply
    202,118.80x = 303,178.20 × 148,974.70
  4. Step 4: Simplify right side
    202,118.80x = 45,165,881,391.54
  5. Step 5: Solve for x
    x = 45,165,881,391.54/202,118.80
  6. Step 6: Final answer
    x = 223,462.05

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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.