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Finding the Fourth Proportional to 136,813.23, 188,805.44 and 85,828.11

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Solution

The fourth proportional to 136,813.23, 188,805.44 and 85,828.11 is: 118,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,813.23 : 188,805.44 = 85,828.11 : x
  2. Step 2: Convert to fraction form
    136,813.23/188,805.44 = 85,828.11/x
  3. Step 3: Cross multiply
    136,813.23x = 188,805.44 × 85,828.11
  4. Step 4: Simplify right side
    136,813.23x = 16,204,814,072.92
  5. Step 5: Solve for x
    x = 16,204,814,072.92/136,813.23
  6. Step 6: Final answer
    x = 118,444.79

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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.