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Finding the Fourth Proportional to 210,107.88, 289,972.98 and 116,982.96

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Solution

The fourth proportional to 210,107.88, 289,972.98 and 116,982.96 is: 161,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,107.88 : 289,972.98 = 116,982.96 : x
  2. Step 2: Convert to fraction form
    210,107.88/289,972.98 = 116,982.96/x
  3. Step 3: Cross multiply
    210,107.88x = 289,972.98 × 116,982.96
  4. Step 4: Simplify right side
    210,107.88x = 33,921,897,520.42
  5. Step 5: Solve for x
    x = 33,921,897,520.42/210,107.88
  6. Step 6: Final answer
    x = 161,449.91

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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.