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Finding the Fourth Proportional to 231,204, 346,806 and 56,100

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Solution

The fourth proportional to 231,204, 346,806 and 56,100 is: 84,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,204 : 346,806 = 56,100 : x
  2. Step 2: Convert to fraction form
    231,204/346,806 = 56,100/x
  3. Step 3: Cross multiply
    231,204x = 346,806 × 56,100
  4. Step 4: Simplify right side
    231,204x = 19,455,816,600
  5. Step 5: Solve for x
    x = 19,455,816,600/231,204
  6. Step 6: Final answer
    x = 84,150

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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.