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Finding the Fourth Proportional to 131,405.80, 197,108.70 and 75,224.20

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Solution

The fourth proportional to 131,405.80, 197,108.70 and 75,224.20 is: 112,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,405.80 : 197,108.70 = 75,224.20 : x
  2. Step 2: Convert to fraction form
    131,405.80/197,108.70 = 75,224.20/x
  3. Step 3: Cross multiply
    131,405.80x = 197,108.70 × 75,224.20
  4. Step 4: Simplify right side
    131,405.80x = 14,827,344,270.54
  5. Step 5: Solve for x
    x = 14,827,344,270.54/131,405.80
  6. Step 6: Final answer
    x = 112,836.30

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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.