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Finding the Fourth Proportional to 212,842.20, 293,724.36 and 117,346.44

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Solution

The fourth proportional to 212,842.20, 293,724.36 and 117,346.44 is: 161,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,842.20 : 293,724.36 = 117,346.44 : x
  2. Step 2: Convert to fraction form
    212,842.20/293,724.36 = 117,346.44/x
  3. Step 3: Cross multiply
    212,842.20x = 293,724.36 × 117,346.44
  4. Step 4: Simplify right side
    212,842.20x = 34,467,507,987.28
  5. Step 5: Solve for x
    x = 34,467,507,987.28/212,842.20
  6. Step 6: Final answer
    x = 161,939.26

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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.