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Finding the Fourth Proportional to 188,248.56, 259,806.42 and 107,664.90

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Solution

The fourth proportional to 188,248.56, 259,806.42 and 107,664.90 is: 148,590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,248.56 : 259,806.42 = 107,664.90 : x
  2. Step 2: Convert to fraction form
    188,248.56/259,806.42 = 107,664.90/x
  3. Step 3: Cross multiply
    188,248.56x = 259,806.42 × 107,664.90
  4. Step 4: Simplify right side
    188,248.56x = 27,972,032,228.66
  5. Step 5: Solve for x
    x = 27,972,032,228.66/188,248.56
  6. Step 6: Final answer
    x = 148,590.95

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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.