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Finding the Fourth Proportional to 118,942.38, 178,396.14 and 34,679.91

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Solution

The fourth proportional to 118,942.38, 178,396.14 and 34,679.91 is: 52,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,942.38 : 178,396.14 = 34,679.91 : x
  2. Step 2: Convert to fraction form
    118,942.38/178,396.14 = 34,679.91/x
  3. Step 3: Cross multiply
    118,942.38x = 178,396.14 × 34,679.91
  4. Step 4: Simplify right side
    118,942.38x = 6,186,762,079.55
  5. Step 5: Solve for x
    x = 6,186,762,079.55/118,942.38
  6. Step 6: Final answer
    x = 52,014.78

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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.