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Finding the Fourth Proportional to 133,961.44, 200,947.02 and 40,468

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Solution

The fourth proportional to 133,961.44, 200,947.02 and 40,468 is: 60,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,961.44 : 200,947.02 = 40,468 : x
  2. Step 2: Convert to fraction form
    133,961.44/200,947.02 = 40,468/x
  3. Step 3: Cross multiply
    133,961.44x = 200,947.02 × 40,468
  4. Step 4: Simplify right side
    133,961.44x = 8,131,924,005.36
  5. Step 5: Solve for x
    x = 8,131,924,005.36/133,961.44
  6. Step 6: Final answer
    x = 60,703.47

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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.