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Finding the Fourth Proportional to 187,906.54, 259,321.65 and 111,470.89

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Solution

The fourth proportional to 187,906.54, 259,321.65 and 111,470.89 is: 153,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,906.54 : 259,321.65 = 111,470.89 : x
  2. Step 2: Convert to fraction form
    187,906.54/259,321.65 = 111,470.89/x
  3. Step 3: Cross multiply
    187,906.54x = 259,321.65 × 111,470.89
  4. Step 4: Simplify right side
    187,906.54x = 28,906,815,121.77
  5. Step 5: Solve for x
    x = 28,906,815,121.77/187,906.54
  6. Step 6: Final answer
    x = 153,836.13

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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.