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Finding the Fourth Proportional to 251,882.60, 378,261.30 and 133,784.60

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Solution

The fourth proportional to 251,882.60, 378,261.30 and 133,784.60 is: 200,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,882.60 : 378,261.30 = 133,784.60 : x
  2. Step 2: Convert to fraction form
    251,882.60/378,261.30 = 133,784.60/x
  3. Step 3: Cross multiply
    251,882.60x = 378,261.30 × 133,784.60
  4. Step 4: Simplify right side
    251,882.60x = 50,605,536,715.98
  5. Step 5: Solve for x
    x = 50,605,536,715.98/251,882.60
  6. Step 6: Final answer
    x = 200,909.22

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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.