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Finding the Fourth Proportional to 227,076.36, 340,655.86 and 77,308.98

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Solution

The fourth proportional to 227,076.36, 340,655.86 and 77,308.98 is: 115,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,076.36 : 340,655.86 = 77,308.98 : x
  2. Step 2: Convert to fraction form
    227,076.36/340,655.86 = 77,308.98/x
  3. Step 3: Cross multiply
    227,076.36x = 340,655.86 × 77,308.98
  4. Step 4: Simplify right side
    227,076.36x = 26,335,757,067.62
  5. Step 5: Solve for x
    x = 26,335,757,067.62/227,076.36
  6. Step 6: Final answer
    x = 115,977.54

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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.