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Finding the Fourth Proportional to 149,890.68, 206,848.98 and 82,822.68

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Solution

The fourth proportional to 149,890.68, 206,848.98 and 82,822.68 is: 114,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,890.68 : 206,848.98 = 82,822.68 : x
  2. Step 2: Convert to fraction form
    149,890.68/206,848.98 = 82,822.68/x
  3. Step 3: Cross multiply
    149,890.68x = 206,848.98 × 82,822.68
  4. Step 4: Simplify right side
    149,890.68x = 17,131,786,878.87
  5. Step 5: Solve for x
    x = 17,131,786,878.87/149,890.68
  6. Step 6: Final answer
    x = 114,295.21

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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.