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Finding the Fourth Proportional to 136,121.84, 187,852.20 and 82,416.68

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Solution

The fourth proportional to 136,121.84, 187,852.20 and 82,416.68 is: 113,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,121.84 : 187,852.20 = 82,416.68 : x
  2. Step 2: Convert to fraction form
    136,121.84/187,852.20 = 82,416.68/x
  3. Step 3: Cross multiply
    136,121.84x = 187,852.20 × 82,416.68
  4. Step 4: Simplify right side
    136,121.84x = 15,482,154,654.70
  5. Step 5: Solve for x
    x = 15,482,154,654.70/136,121.84
  6. Step 6: Final answer
    x = 113,737.48

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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.