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Finding the Fourth Proportional to 131,456.34, 197,105.53 and 51,398.92

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Solution

The fourth proportional to 131,456.34, 197,105.53 and 51,398.92 is: 77,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,456.34 : 197,105.53 = 51,398.92 : x
  2. Step 2: Convert to fraction form
    131,456.34/197,105.53 = 51,398.92/x
  3. Step 3: Cross multiply
    131,456.34x = 197,105.53 × 51,398.92
  4. Step 4: Simplify right side
    131,456.34x = 10,131,011,368.03
  5. Step 5: Solve for x
    x = 10,131,011,368.03/131,456.34
  6. Step 6: Final answer
    x = 77,067.50

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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.