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Finding the Fourth Proportional to 185,286.39, 277,929.59 and 106,423.17

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Solution

The fourth proportional to 185,286.39, 277,929.59 and 106,423.17 is: 159,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,286.39 : 277,929.59 = 106,423.17 : x
  2. Step 2: Convert to fraction form
    185,286.39/277,929.59 = 106,423.17/x
  3. Step 3: Cross multiply
    185,286.39x = 277,929.59 × 106,423.17
  4. Step 4: Simplify right side
    185,286.39x = 29,578,147,472.48
  5. Step 5: Solve for x
    x = 29,578,147,472.48/185,286.39
  6. Step 6: Final answer
    x = 159,634.76

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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.