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Finding the Fourth Proportional to 212,753.44, 319,177.47 and 92,829.83

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Solution

The fourth proportional to 212,753.44, 319,177.47 and 92,829.83 is: 139,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,753.44 : 319,177.47 = 92,829.83 : x
  2. Step 2: Convert to fraction form
    212,753.44/319,177.47 = 92,829.83/x
  3. Step 3: Cross multiply
    212,753.44x = 319,177.47 × 92,829.83
  4. Step 4: Simplify right side
    212,753.44x = 29,629,190,229.07
  5. Step 5: Solve for x
    x = 29,629,190,229.07/212,753.44
  6. Step 6: Final answer
    x = 139,265.39

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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.