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Finding the Fourth Proportional to 178,067.86, 267,101.80 and 72,844

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Solution

The fourth proportional to 178,067.86, 267,101.80 and 72,844 is: 109,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,067.86 : 267,101.80 = 72,844 : x
  2. Step 2: Convert to fraction form
    178,067.86/267,101.80 = 72,844/x
  3. Step 3: Cross multiply
    178,067.86x = 267,101.80 × 72,844
  4. Step 4: Simplify right side
    178,067.86x = 19,456,763,519.20
  5. Step 5: Solve for x
    x = 19,456,763,519.20/178,067.86
  6. Step 6: Final answer
    x = 109,266.00

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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.