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Finding the Fourth Proportional to 193,364.50, 266,892.06 and 132,135.48

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Solution

The fourth proportional to 193,364.50, 266,892.06 and 132,135.48 is: 182,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,364.50 : 266,892.06 = 132,135.48 : x
  2. Step 2: Convert to fraction form
    193,364.50/266,892.06 = 132,135.48/x
  3. Step 3: Cross multiply
    193,364.50x = 266,892.06 × 132,135.48
  4. Step 4: Simplify right side
    193,364.50x = 35,265,910,961.63
  5. Step 5: Solve for x
    x = 35,265,910,961.63/193,364.50
  6. Step 6: Final answer
    x = 182,380.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.