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Finding the Fourth Proportional to 131,455.80, 197,183.70 and 78,838.20

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Solution

The fourth proportional to 131,455.80, 197,183.70 and 78,838.20 is: 118,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,455.80 : 197,183.70 = 78,838.20 : x
  2. Step 2: Convert to fraction form
    131,455.80/197,183.70 = 78,838.20/x
  3. Step 3: Cross multiply
    131,455.80x = 197,183.70 × 78,838.20
  4. Step 4: Simplify right side
    131,455.80x = 15,545,607,977.34
  5. Step 5: Solve for x
    x = 15,545,607,977.34/131,455.80
  6. Step 6: Final answer
    x = 118,257.30

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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.