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Finding the Fourth Proportional to 149,890.29, 206,848.62 and 82,822.29

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Solution

The fourth proportional to 149,890.29, 206,848.62 and 82,822.29 is: 114,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,890.29 : 206,848.62 = 82,822.29 : x
  2. Step 2: Convert to fraction form
    149,890.29/206,848.62 = 82,822.29/x
  3. Step 3: Cross multiply
    149,890.29x = 206,848.62 × 82,822.29
  4. Step 4: Simplify right side
    149,890.29x = 17,131,676,391.74
  5. Step 5: Solve for x
    x = 17,131,676,391.74/149,890.29
  6. Step 6: Final answer
    x = 114,294.77

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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.