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Finding the Fourth Proportional to 212,190.41, 293,593.82 and 185,023.14

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Solution

The fourth proportional to 212,190.41, 293,593.82 and 185,023.14 is: 256,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,190.41 : 293,593.82 = 185,023.14 : x
  2. Step 2: Convert to fraction form
    212,190.41/293,593.82 = 185,023.14/x
  3. Step 3: Cross multiply
    212,190.41x = 293,593.82 × 185,023.14
  4. Step 4: Simplify right side
    212,190.41x = 54,321,650,460.99
  5. Step 5: Solve for x
    x = 54,321,650,460.99/212,190.41
  6. Step 6: Final answer
    x = 256,004.27

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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.