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Finding the Fourth Proportional to 135,622.18, 203,410.05 and 35,783.40

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Solution

The fourth proportional to 135,622.18, 203,410.05 and 35,783.40 is: 53,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,622.18 : 203,410.05 = 35,783.40 : x
  2. Step 2: Convert to fraction form
    135,622.18/203,410.05 = 35,783.40/x
  3. Step 3: Cross multiply
    135,622.18x = 203,410.05 × 35,783.40
  4. Step 4: Simplify right side
    135,622.18x = 7,278,703,183.17
  5. Step 5: Solve for x
    x = 7,278,703,183.17/135,622.18
  6. Step 6: Final answer
    x = 53,668.97

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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.