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Finding the Fourth Proportional to 283,833, 391,692.24 and 156,512.88

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Solution

The fourth proportional to 283,833, 391,692.24 and 156,512.88 is: 215,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,833 : 391,692.24 = 156,512.88 : x
  2. Step 2: Convert to fraction form
    283,833/391,692.24 = 156,512.88/x
  3. Step 3: Cross multiply
    283,833x = 391,692.24 × 156,512.88
  4. Step 4: Simplify right side
    283,833x = 61,304,880,556.05
  5. Step 5: Solve for x
    x = 61,304,880,556.05/283,833
  6. Step 6: Final answer
    x = 215,989.26

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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.