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Finding the Fourth Proportional to 275,742.80, 413,614.20 and 135,774.80

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Solution

The fourth proportional to 275,742.80, 413,614.20 and 135,774.80 is: 203,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,742.80 : 413,614.20 = 135,774.80 : x
  2. Step 2: Convert to fraction form
    275,742.80/413,614.20 = 135,774.80/x
  3. Step 3: Cross multiply
    275,742.80x = 413,614.20 × 135,774.80
  4. Step 4: Simplify right side
    275,742.80x = 56,158,385,282.16
  5. Step 5: Solve for x
    x = 56,158,385,282.16/275,742.80
  6. Step 6: Final answer
    x = 203,662.20

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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.