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Finding the Fourth Proportional to 136,295.96, 188,093.97 and 75,862.77

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Solution

The fourth proportional to 136,295.96, 188,093.97 and 75,862.77 is: 104,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,295.96 : 188,093.97 = 75,862.77 : x
  2. Step 2: Convert to fraction form
    136,295.96/188,093.97 = 75,862.77/x
  3. Step 3: Cross multiply
    136,295.96x = 188,093.97 × 75,862.77
  4. Step 4: Simplify right side
    136,295.96x = 14,269,329,584.50
  5. Step 5: Solve for x
    x = 14,269,329,584.50/136,295.96
  6. Step 6: Final answer
    x = 104,693.71

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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.