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Finding the Fourth Proportional to 131,429.20, 197,143.80 and 116,654.80

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Solution

The fourth proportional to 131,429.20, 197,143.80 and 116,654.80 is: 174,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,429.20 : 197,143.80 = 116,654.80 : x
  2. Step 2: Convert to fraction form
    131,429.20/197,143.80 = 116,654.80/x
  3. Step 3: Cross multiply
    131,429.20x = 197,143.80 × 116,654.80
  4. Step 4: Simplify right side
    131,429.20x = 22,997,770,560.24
  5. Step 5: Solve for x
    x = 22,997,770,560.24/131,429.20
  6. Step 6: Final answer
    x = 174,982.20

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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.