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Finding the Fourth Proportional to 283,773.56, 391,625.16 and 156,448.96

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Solution

The fourth proportional to 283,773.56, 391,625.16 and 156,448.96 is: 215,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,773.56 : 391,625.16 = 156,448.96 : x
  2. Step 2: Convert to fraction form
    283,773.56/391,625.16 = 156,448.96/x
  3. Step 3: Cross multiply
    283,773.56x = 391,625.16 × 156,448.96
  4. Step 4: Simplify right side
    283,773.56x = 61,269,348,991.83
  5. Step 5: Solve for x
    x = 61,269,348,991.83/283,773.56
  6. Step 6: Final answer
    x = 215,909.29

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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.