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Finding the Fourth Proportional to 262,272.84, 393,207.66 and 135,777.48

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Solution

The fourth proportional to 262,272.84, 393,207.66 and 135,777.48 is: 203,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,272.84 : 393,207.66 = 135,777.48 : x
  2. Step 2: Convert to fraction form
    262,272.84/393,207.66 = 135,777.48/x
  3. Step 3: Cross multiply
    262,272.84x = 393,207.66 × 135,777.48
  4. Step 4: Simplify right side
    262,272.84x = 53,388,745,191.50
  5. Step 5: Solve for x
    x = 53,388,745,191.50/262,272.84
  6. Step 6: Final answer
    x = 203,561.85

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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.