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Finding the Fourth Proportional to 201,874.20, 303,139.35 and 146,105.70

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Solution

The fourth proportional to 201,874.20, 303,139.35 and 146,105.70 is: 219,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.20 : 303,139.35 = 146,105.70 : x
  2. Step 2: Convert to fraction form
    201,874.20/303,139.35 = 146,105.70/x
  3. Step 3: Cross multiply
    201,874.20x = 303,139.35 × 146,105.70
  4. Step 4: Simplify right side
    201,874.20x = 44,290,386,929.30
  5. Step 5: Solve for x
    x = 44,290,386,929.30/201,874.20
  6. Step 6: Final answer
    x = 219,395.97

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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.