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Finding the Fourth Proportional to 212,493.14, 293,239.86 and 116,999.85

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Solution

The fourth proportional to 212,493.14, 293,239.86 and 116,999.85 is: 161,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,493.14 : 293,239.86 = 116,999.85 : x
  2. Step 2: Convert to fraction form
    212,493.14/293,239.86 = 116,999.85/x
  3. Step 3: Cross multiply
    212,493.14x = 293,239.86 × 116,999.85
  4. Step 4: Simplify right side
    212,493.14x = 34,309,019,634.02
  5. Step 5: Solve for x
    x = 34,309,019,634.02/212,493.14
  6. Step 6: Final answer
    x = 161,459.43

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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.