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Finding the Fourth Proportional to 119,179.78, 178,794.24 and 34,942.72

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Solution

The fourth proportional to 119,179.78, 178,794.24 and 34,942.72 is: 52,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,179.78 : 178,794.24 = 34,942.72 : x
  2. Step 2: Convert to fraction form
    119,179.78/178,794.24 = 34,942.72/x
  3. Step 3: Cross multiply
    119,179.78x = 178,794.24 × 34,942.72
  4. Step 4: Simplify right side
    119,179.78x = 6,247,557,065.93
  5. Step 5: Solve for x
    x = 6,247,557,065.93/119,179.78
  6. Step 6: Final answer
    x = 52,421.28

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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.