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Finding the Fourth Proportional to 188,390.52, 259,977.84 and 102,348.81

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Solution

The fourth proportional to 188,390.52, 259,977.84 and 102,348.81 is: 141,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,390.52 : 259,977.84 = 102,348.81 : x
  2. Step 2: Convert to fraction form
    188,390.52/259,977.84 = 102,348.81/x
  3. Step 3: Cross multiply
    188,390.52x = 259,977.84 × 102,348.81
  4. Step 4: Simplify right side
    188,390.52x = 26,608,422,550.37
  5. Step 5: Solve for x
    x = 26,608,422,550.37/188,390.52
  6. Step 6: Final answer
    x = 141,240.77

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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.