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Finding the Fourth Proportional to 136,092.60, 187,758 and 82,357.92

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Solution

The fourth proportional to 136,092.60, 187,758 and 82,357.92 is: 113,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,092.60 : 187,758 = 82,357.92 : x
  2. Step 2: Convert to fraction form
    136,092.60/187,758 = 82,357.92/x
  3. Step 3: Cross multiply
    136,092.60x = 187,758 × 82,357.92
  4. Step 4: Simplify right side
    136,092.60x = 15,463,358,343.36
  5. Step 5: Solve for x
    x = 15,463,358,343.36/136,092.60
  6. Step 6: Final answer
    x = 113,623.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.