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Finding the Fourth Proportional to 136,603.14, 188,524.77 and 82,901.82

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Solution

The fourth proportional to 136,603.14, 188,524.77 and 82,901.82 is: 114,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,603.14 : 188,524.77 = 82,901.82 : x
  2. Step 2: Convert to fraction form
    136,603.14/188,524.77 = 82,901.82/x
  3. Step 3: Cross multiply
    136,603.14x = 188,524.77 × 82,901.82
  4. Step 4: Simplify right side
    136,603.14x = 15,629,046,548.08
  5. Step 5: Solve for x
    x = 15,629,046,548.08/136,603.14
  6. Step 6: Final answer
    x = 114,412.06

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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.