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Finding the Fourth Proportional to 131,993.65, 197,972.88 and 37,231.45

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Solution

The fourth proportional to 131,993.65, 197,972.88 and 37,231.45 is: 55,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,993.65 : 197,972.88 = 37,231.45 : x
  2. Step 2: Convert to fraction form
    131,993.65/197,972.88 = 37,231.45/x
  3. Step 3: Cross multiply
    131,993.65x = 197,972.88 × 37,231.45
  4. Step 4: Simplify right side
    131,993.65x = 7,370,816,748.53
  5. Step 5: Solve for x
    x = 7,370,816,748.53/131,993.65
  6. Step 6: Final answer
    x = 55,842.21

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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.