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Finding the Fourth Proportional to 214,018.41, 295,354.98 and 117,229.08

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Solution

The fourth proportional to 214,018.41, 295,354.98 and 117,229.08 is: 161,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,018.41 : 295,354.98 = 117,229.08 : x
  2. Step 2: Convert to fraction form
    214,018.41/295,354.98 = 117,229.08/x
  3. Step 3: Cross multiply
    214,018.41x = 295,354.98 × 117,229.08
  4. Step 4: Simplify right side
    214,018.41x = 34,624,192,578.82
  5. Step 5: Solve for x
    x = 34,624,192,578.82/214,018.41
  6. Step 6: Final answer
    x = 161,781.37

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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.