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Finding the Fourth Proportional to 227,338.44, 340,961.61 and 77,497.50

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Solution

The fourth proportional to 227,338.44, 340,961.61 and 77,497.50 is: 116,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,338.44 : 340,961.61 = 77,497.50 : x
  2. Step 2: Convert to fraction form
    227,338.44/340,961.61 = 77,497.50/x
  3. Step 3: Cross multiply
    227,338.44x = 340,961.61 × 77,497.50
  4. Step 4: Simplify right side
    227,338.44x = 26,423,672,370.98
  5. Step 5: Solve for x
    x = 26,423,672,370.98/227,338.44
  6. Step 6: Final answer
    x = 116,230.55

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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.