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Finding the Fourth Proportional to 136,407.97, 188,252.46 and 82,695.25

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Solution

The fourth proportional to 136,407.97, 188,252.46 and 82,695.25 is: 114,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,407.97 : 188,252.46 = 82,695.25 : x
  2. Step 2: Convert to fraction form
    136,407.97/188,252.46 = 82,695.25/x
  3. Step 3: Cross multiply
    136,407.97x = 188,252.46 × 82,695.25
  4. Step 4: Simplify right side
    136,407.97x = 15,567,583,829.34
  5. Step 5: Solve for x
    x = 15,567,583,829.34/136,407.97
  6. Step 6: Final answer
    x = 114,125.18

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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.