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Finding the Fourth Proportional to 205,170.37, 283,159.14 and 170,654.21

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Solution

The fourth proportional to 205,170.37, 283,159.14 and 170,654.21 is: 235,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,170.37 : 283,159.14 = 170,654.21 : x
  2. Step 2: Convert to fraction form
    205,170.37/283,159.14 = 170,654.21/x
  3. Step 3: Cross multiply
    205,170.37x = 283,159.14 × 170,654.21
  4. Step 4: Simplify right side
    205,170.37x = 48,322,299,408.92
  5. Step 5: Solve for x
    x = 48,322,299,408.92/205,170.37
  6. Step 6: Final answer
    x = 235,522.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.