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Finding the Fourth Proportional to 197,105.70, 295,658.55 and 78,861.90

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Solution

The fourth proportional to 197,105.70, 295,658.55 and 78,861.90 is: 118,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,105.70 : 295,658.55 = 78,861.90 : x
  2. Step 2: Convert to fraction form
    197,105.70/295,658.55 = 78,861.90/x
  3. Step 3: Cross multiply
    197,105.70x = 295,658.55 × 78,861.90
  4. Step 4: Simplify right side
    197,105.70x = 23,316,195,004.25
  5. Step 5: Solve for x
    x = 23,316,195,004.25/197,105.70
  6. Step 6: Final answer
    x = 118,292.85

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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.