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Finding the Fourth Proportional to 149,920.32, 206,881.92 and 82,848

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Solution

The fourth proportional to 149,920.32, 206,881.92 and 82,848 is: 114,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,920.32 : 206,881.92 = 82,848 : x
  2. Step 2: Convert to fraction form
    149,920.32/206,881.92 = 82,848/x
  3. Step 3: Cross multiply
    149,920.32x = 206,881.92 × 82,848
  4. Step 4: Simplify right side
    149,920.32x = 17,139,753,308.16
  5. Step 5: Solve for x
    x = 17,139,753,308.16/149,920.32
  6. Step 6: Final answer
    x = 114,325.75

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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.