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Finding the Fourth Proportional to 144,196.43, 198,985.05 and 82,937.96

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Solution

The fourth proportional to 144,196.43, 198,985.05 and 82,937.96 is: 114,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,196.43 : 198,985.05 = 82,937.96 : x
  2. Step 2: Convert to fraction form
    144,196.43/198,985.05 = 82,937.96/x
  3. Step 3: Cross multiply
    144,196.43x = 198,985.05 × 82,937.96
  4. Step 4: Simplify right side
    144,196.43x = 16,503,414,117.50
  5. Step 5: Solve for x
    x = 16,503,414,117.50/144,196.43
  6. Step 6: Final answer
    x = 114,450.92

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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.