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Finding the Fourth Proportional to 226,584, 312,685.92 and 125,982

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Solution

The fourth proportional to 226,584, 312,685.92 and 125,982 is: 173,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,584 : 312,685.92 = 125,982 : x
  2. Step 2: Convert to fraction form
    226,584/312,685.92 = 125,982/x
  3. Step 3: Cross multiply
    226,584x = 312,685.92 × 125,982
  4. Step 4: Simplify right side
    226,584x = 39,392,797,573.44
  5. Step 5: Solve for x
    x = 39,392,797,573.44/226,584
  6. Step 6: Final answer
    x = 173,855.16

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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.