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Finding the Fourth Proportional to 283,600.12, 391,376.52 and 156,283.90

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Solution

The fourth proportional to 283,600.12, 391,376.52 and 156,283.90 is: 215,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,600.12 : 391,376.52 = 156,283.90 : x
  2. Step 2: Convert to fraction form
    283,600.12/391,376.52 = 156,283.90/x
  3. Step 3: Cross multiply
    283,600.12x = 391,376.52 × 156,283.90
  4. Step 4: Simplify right side
    283,600.12x = 61,165,848,914.03
  5. Step 5: Solve for x
    x = 61,165,848,914.03/283,600.12
  6. Step 6: Final answer
    x = 215,676.39

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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.