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Finding the Fourth Proportional to 136,704.54, 188,665.30 and 82,977.24

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Solution

The fourth proportional to 136,704.54, 188,665.30 and 82,977.24 is: 114,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,704.54 : 188,665.30 = 82,977.24 : x
  2. Step 2: Convert to fraction form
    136,704.54/188,665.30 = 82,977.24/x
  3. Step 3: Cross multiply
    136,704.54x = 188,665.30 × 82,977.24
  4. Step 4: Simplify right side
    136,704.54x = 15,654,925,877.77
  5. Step 5: Solve for x
    x = 15,654,925,877.77/136,704.54
  6. Step 6: Final answer
    x = 114,516.50

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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.