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Finding the Fourth Proportional to 227,162.54, 340,678.20 and 77,399.52

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Solution

The fourth proportional to 227,162.54, 340,678.20 and 77,399.52 is: 116,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,162.54 : 340,678.20 = 77,399.52 : x
  2. Step 2: Convert to fraction form
    227,162.54/340,678.20 = 77,399.52/x
  3. Step 3: Cross multiply
    227,162.54x = 340,678.20 × 77,399.52
  4. Step 4: Simplify right side
    227,162.54x = 26,368,327,064.08
  5. Step 5: Solve for x
    x = 26,368,327,064.08/227,162.54
  6. Step 6: Final answer
    x = 116,076.92

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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.