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Finding the Fourth Proportional to 136,237.80, 188,013.48 and 82,492.44

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Solution

The fourth proportional to 136,237.80, 188,013.48 and 82,492.44 is: 113,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,237.80 : 188,013.48 = 82,492.44 : x
  2. Step 2: Convert to fraction form
    136,237.80/188,013.48 = 82,492.44/x
  3. Step 3: Cross multiply
    136,237.80x = 188,013.48 × 82,492.44
  4. Step 4: Simplify right side
    136,237.80x = 15,509,690,718.09
  5. Step 5: Solve for x
    x = 15,509,690,718.09/136,237.80
  6. Step 6: Final answer
    x = 113,842.79

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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.