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Finding the Fourth Proportional to 131,908.42, 197,874.31 and 37,139.42

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Solution

The fourth proportional to 131,908.42, 197,874.31 and 37,139.42 is: 55,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,908.42 : 197,874.31 = 37,139.42 : x
  2. Step 2: Convert to fraction form
    131,908.42/197,874.31 = 37,139.42/x
  3. Step 3: Cross multiply
    131,908.42x = 197,874.31 × 37,139.42
  4. Step 4: Simplify right side
    131,908.42x = 7,348,936,024.08
  5. Step 5: Solve for x
    x = 7,348,936,024.08/131,908.42
  6. Step 6: Final answer
    x = 55,712.41

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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.