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Finding the Fourth Proportional to 131,542.80, 197,314.20 and 48,469.20

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Solution

The fourth proportional to 131,542.80, 197,314.20 and 48,469.20 is: 72,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,542.80 : 197,314.20 = 48,469.20 : x
  2. Step 2: Convert to fraction form
    131,542.80/197,314.20 = 48,469.20/x
  3. Step 3: Cross multiply
    131,542.80x = 197,314.20 × 48,469.20
  4. Step 4: Simplify right side
    131,542.80x = 9,563,661,422.64
  5. Step 5: Solve for x
    x = 9,563,661,422.64/131,542.80
  6. Step 6: Final answer
    x = 72,703.80

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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.