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Finding the Fourth Proportional to 205,137.96, 283,086.66 and 114,492.27

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Solution

The fourth proportional to 205,137.96, 283,086.66 and 114,492.27 is: 157,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,137.96 : 283,086.66 = 114,492.27 : x
  2. Step 2: Convert to fraction form
    205,137.96/283,086.66 = 114,492.27/x
  3. Step 3: Cross multiply
    205,137.96x = 283,086.66 × 114,492.27
  4. Step 4: Simplify right side
    205,137.96x = 32,411,234,310.12
  5. Step 5: Solve for x
    x = 32,411,234,310.12/205,137.96
  6. Step 6: Final answer
    x = 157,997.25

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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.