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Finding the Fourth Proportional to 131,971.92, 197,957.64 and 37,201.92

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Solution

The fourth proportional to 131,971.92, 197,957.64 and 37,201.92 is: 55,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,971.92 : 197,957.64 = 37,201.92 : x
  2. Step 2: Convert to fraction form
    131,971.92/197,957.64 = 37,201.92/x
  3. Step 3: Cross multiply
    131,971.92x = 197,957.64 × 37,201.92
  4. Step 4: Simplify right side
    131,971.92x = 7,364,404,286.67
  5. Step 5: Solve for x
    x = 7,364,404,286.67/131,971.92
  6. Step 6: Final answer
    x = 55,802.81

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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.