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Finding the Fourth Proportional to 212,533.68, 293,286.24 and 117,044.40

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Solution

The fourth proportional to 212,533.68, 293,286.24 and 117,044.40 is: 161,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,533.68 : 293,286.24 = 117,044.40 : x
  2. Step 2: Convert to fraction form
    212,533.68/293,286.24 = 117,044.40/x
  3. Step 3: Cross multiply
    212,533.68x = 293,286.24 × 117,044.40
  4. Step 4: Simplify right side
    212,533.68x = 34,327,511,989.06
  5. Step 5: Solve for x
    x = 34,327,511,989.06/212,533.68
  6. Step 6: Final answer
    x = 161,515.63

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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.