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Finding the Fourth Proportional to 201,874.70, 303,140.10 and 146,106.20

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Solution

The fourth proportional to 201,874.70, 303,140.10 and 146,106.20 is: 219,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.70 : 303,140.10 = 146,106.20 : x
  2. Step 2: Convert to fraction form
    201,874.70/303,140.10 = 146,106.20/x
  3. Step 3: Cross multiply
    201,874.70x = 303,140.10 × 146,106.20
  4. Step 4: Simplify right side
    201,874.70x = 44,290,648,078.62
  5. Step 5: Solve for x
    x = 44,290,648,078.62/201,874.70
  6. Step 6: Final answer
    x = 219,396.73

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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.