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Finding the Fourth Proportional to 136,106.34, 187,781.79 and 82,370.94

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Solution

The fourth proportional to 136,106.34, 187,781.79 and 82,370.94 is: 113,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,106.34 : 187,781.79 = 82,370.94 : x
  2. Step 2: Convert to fraction form
    136,106.34/187,781.79 = 82,370.94/x
  3. Step 3: Cross multiply
    136,106.34x = 187,781.79 × 82,370.94
  4. Step 4: Simplify right side
    136,106.34x = 15,467,762,557.18
  5. Step 5: Solve for x
    x = 15,467,762,557.18/136,106.34
  6. Step 6: Final answer
    x = 113,644.69

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