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Finding the Fourth Proportional to 136,305.38, 188,110.55 and 82,595.70

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Solution

The fourth proportional to 136,305.38, 188,110.55 and 82,595.70 is: 113,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,305.38 : 188,110.55 = 82,595.70 : x
  2. Step 2: Convert to fraction form
    136,305.38/188,110.55 = 82,595.70/x
  3. Step 3: Cross multiply
    136,305.38x = 188,110.55 × 82,595.70
  4. Step 4: Simplify right side
    136,305.38x = 15,537,122,761.12
  5. Step 5: Solve for x
    x = 15,537,122,761.12/136,305.38
  6. Step 6: Final answer
    x = 113,987.60

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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.