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Finding the Fourth Proportional to 214,028.93, 295,363.13 and 117,241.70

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Solution

The fourth proportional to 214,028.93, 295,363.13 and 117,241.70 is: 161,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,028.93 : 295,363.13 = 117,241.70 : x
  2. Step 2: Convert to fraction form
    214,028.93/295,363.13 = 117,241.70/x
  3. Step 3: Cross multiply
    214,028.93x = 295,363.13 × 117,241.70
  4. Step 4: Simplify right side
    214,028.93x = 34,628,876,896.85
  5. Step 5: Solve for x
    x = 34,628,876,896.85/214,028.93
  6. Step 6: Final answer
    x = 161,795.31

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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.