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Finding the Fourth Proportional to 116,204, 174,306 and 28,652

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Solution

The fourth proportional to 116,204, 174,306 and 28,652 is: 42,978

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,204 : 174,306 = 28,652 : x
  2. Step 2: Convert to fraction form
    116,204/174,306 = 28,652/x
  3. Step 3: Cross multiply
    116,204x = 174,306 × 28,652
  4. Step 4: Simplify right side
    116,204x = 4,994,215,512
  5. Step 5: Solve for x
    x = 4,994,215,512/116,204
  6. Step 6: Final answer
    x = 42,978

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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.