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Finding the Fourth Proportional to 149,045.52, 205,682.67 and 85,383.57

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Solution

The fourth proportional to 149,045.52, 205,682.67 and 85,383.57 is: 117,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,045.52 : 205,682.67 = 85,383.57 : x
  2. Step 2: Convert to fraction form
    149,045.52/205,682.67 = 85,383.57/x
  3. Step 3: Cross multiply
    149,045.52x = 205,682.67 × 85,383.57
  4. Step 4: Simplify right side
    149,045.52x = 17,561,920,651.73
  5. Step 5: Solve for x
    x = 17,561,920,651.73/149,045.52
  6. Step 6: Final answer
    x = 117,829.24

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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.