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Finding the Fourth Proportional to 188,077.99, 259,552.40 and 103,195.03

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Solution

The fourth proportional to 188,077.99, 259,552.40 and 103,195.03 is: 142,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,077.99 : 259,552.40 = 103,195.03 : x
  2. Step 2: Convert to fraction form
    188,077.99/259,552.40 = 103,195.03/x
  3. Step 3: Cross multiply
    188,077.99x = 259,552.40 × 103,195.03
  4. Step 4: Simplify right side
    188,077.99x = 26,784,517,704.57
  5. Step 5: Solve for x
    x = 26,784,517,704.57/188,077.99
  6. Step 6: Final answer
    x = 142,411.76

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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.