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Finding the Fourth Proportional to 180,917.84, 271,394.04 and 81,074

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Solution

The fourth proportional to 180,917.84, 271,394.04 and 81,074 is: 121,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,917.84 : 271,394.04 = 81,074 : x
  2. Step 2: Convert to fraction form
    180,917.84/271,394.04 = 81,074/x
  3. Step 3: Cross multiply
    180,917.84x = 271,394.04 × 81,074
  4. Step 4: Simplify right side
    180,917.84x = 22,003,000,398.96
  5. Step 5: Solve for x
    x = 22,003,000,398.96/180,917.84
  6. Step 6: Final answer
    x = 121,618.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.