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Finding the Fourth Proportional to 212,920.48, 293,832.12 and 117,430.48

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Solution

The fourth proportional to 212,920.48, 293,832.12 and 117,430.48 is: 162,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,920.48 : 293,832.12 = 117,430.48 : x
  2. Step 2: Convert to fraction form
    212,920.48/293,832.12 = 117,430.48/x
  3. Step 3: Cross multiply
    212,920.48x = 293,832.12 × 117,430.48
  4. Step 4: Simplify right side
    212,920.48x = 34,504,846,891.02
  5. Step 5: Solve for x
    x = 34,504,846,891.02/212,920.48
  6. Step 6: Final answer
    x = 162,055.09

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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.