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Finding the Fourth Proportional to 136,407.22, 188,251.42 and 82,694.50

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Solution

The fourth proportional to 136,407.22, 188,251.42 and 82,694.50 is: 114,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,407.22 : 188,251.42 = 82,694.50 : x
  2. Step 2: Convert to fraction form
    136,407.22/188,251.42 = 82,694.50/x
  3. Step 3: Cross multiply
    136,407.22x = 188,251.42 × 82,694.50
  4. Step 4: Simplify right side
    136,407.22x = 15,567,357,051.19
  5. Step 5: Solve for x
    x = 15,567,357,051.19/136,407.22
  6. Step 6: Final answer
    x = 114,124.14

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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.