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Finding the Fourth Proportional to 149,184.68, 205,874.76 and 82,116.68

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Solution

The fourth proportional to 149,184.68, 205,874.76 and 82,116.68 is: 113,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,184.68 : 205,874.76 = 82,116.68 : x
  2. Step 2: Convert to fraction form
    149,184.68/205,874.76 = 82,116.68/x
  3. Step 3: Cross multiply
    149,184.68x = 205,874.76 × 82,116.68
  4. Step 4: Simplify right side
    149,184.68x = 16,905,751,787.00
  5. Step 5: Solve for x
    x = 16,905,751,787.00/149,184.68
  6. Step 6: Final answer
    x = 113,320.96

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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.