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Finding the Fourth Proportional to 203,622.80, 306,090.30 and 144,865.40

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Solution

The fourth proportional to 203,622.80, 306,090.30 and 144,865.40 is: 217,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,622.80 : 306,090.30 = 144,865.40 : x
  2. Step 2: Convert to fraction form
    203,622.80/306,090.30 = 144,865.40/x
  3. Step 3: Cross multiply
    203,622.80x = 306,090.30 × 144,865.40
  4. Step 4: Simplify right side
    203,622.80x = 44,341,893,745.62
  5. Step 5: Solve for x
    x = 44,341,893,745.62/203,622.80
  6. Step 6: Final answer
    x = 217,764.88

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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.