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Finding the Fourth Proportional to 136,775.78, 188,782.07 and 80,205.38

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Solution

The fourth proportional to 136,775.78, 188,782.07 and 80,205.38 is: 110,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,775.78 : 188,782.07 = 80,205.38 : x
  2. Step 2: Convert to fraction form
    136,775.78/188,782.07 = 80,205.38/x
  3. Step 3: Cross multiply
    136,775.78x = 188,782.07 × 80,205.38
  4. Step 4: Simplify right side
    136,775.78x = 15,141,337,260.51
  5. Step 5: Solve for x
    x = 15,141,337,260.51/136,775.78
  6. Step 6: Final answer
    x = 110,701.89

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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.