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Finding the Fourth Proportional to 212,634.63, 293,449.05 and 117,141.30

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Solution

The fourth proportional to 212,634.63, 293,449.05 and 117,141.30 is: 161,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,634.63 : 293,449.05 = 117,141.30 : x
  2. Step 2: Convert to fraction form
    212,634.63/293,449.05 = 117,141.30/x
  3. Step 3: Cross multiply
    212,634.63x = 293,449.05 × 117,141.30
  4. Step 4: Simplify right side
    212,634.63x = 34,375,003,200.77
  5. Step 5: Solve for x
    x = 34,375,003,200.77/212,634.63
  6. Step 6: Final answer
    x = 161,662.30

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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.