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Finding the Fourth Proportional to 131,803.58, 197,664.49 and 47,552.80

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Solution

The fourth proportional to 131,803.58, 197,664.49 and 47,552.80 is: 71,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,803.58 : 197,664.49 = 47,552.80 : x
  2. Step 2: Convert to fraction form
    131,803.58/197,664.49 = 47,552.80/x
  3. Step 3: Cross multiply
    131,803.58x = 197,664.49 × 47,552.80
  4. Step 4: Simplify right side
    131,803.58x = 9,399,499,072.56
  5. Step 5: Solve for x
    x = 9,399,499,072.56/131,803.58
  6. Step 6: Final answer
    x = 71,314.44

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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.