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Finding the Fourth Proportional to 227,046.94, 340,566.74 and 77,391.42

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Solution

The fourth proportional to 227,046.94, 340,566.74 and 77,391.42 is: 116,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,046.94 : 340,566.74 = 77,391.42 : x
  2. Step 2: Convert to fraction form
    227,046.94/340,566.74 = 77,391.42/x
  3. Step 3: Cross multiply
    227,046.94x = 340,566.74 × 77,391.42
  4. Step 4: Simplify right side
    227,046.94x = 26,356,943,613.37
  5. Step 5: Solve for x
    x = 26,356,943,613.37/227,046.94
  6. Step 6: Final answer
    x = 116,085.88

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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.