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Finding the Fourth Proportional to 201,446.30, 301,841.40 and 148,302.20

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Solution

The fourth proportional to 201,446.30, 301,841.40 and 148,302.20 is: 222,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,446.30 : 301,841.40 = 148,302.20 : x
  2. Step 2: Convert to fraction form
    201,446.30/301,841.40 = 148,302.20/x
  3. Step 3: Cross multiply
    201,446.30x = 301,841.40 × 148,302.20
  4. Step 4: Simplify right side
    201,446.30x = 44,763,743,671.08
  5. Step 5: Solve for x
    x = 44,763,743,671.08/201,446.30
  6. Step 6: Final answer
    x = 222,211.79

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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.