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Finding the Fourth Proportional to 193,292.91, 289,822.81 and 86,657.56

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Solution

The fourth proportional to 193,292.91, 289,822.81 and 86,657.56 is: 129,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,292.91 : 289,822.81 = 86,657.56 : x
  2. Step 2: Convert to fraction form
    193,292.91/289,822.81 = 86,657.56/x
  3. Step 3: Cross multiply
    193,292.91x = 289,822.81 × 86,657.56
  4. Step 4: Simplify right side
    193,292.91x = 25,115,337,546.94
  5. Step 5: Solve for x
    x = 25,115,337,546.94/193,292.91
  6. Step 6: Final answer
    x = 129,934.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.