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Finding the Fourth Proportional to 212,784.57, 293,644.62 and 117,294.66

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Solution

The fourth proportional to 212,784.57, 293,644.62 and 117,294.66 is: 161,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,784.57 : 293,644.62 = 117,294.66 : x
  2. Step 2: Convert to fraction form
    212,784.57/293,644.62 = 117,294.66/x
  3. Step 3: Cross multiply
    212,784.57x = 293,644.62 × 117,294.66
  4. Step 4: Simplify right side
    212,784.57x = 34,442,945,863.73
  5. Step 5: Solve for x
    x = 34,442,945,863.73/212,784.57
  6. Step 6: Final answer
    x = 161,867.69

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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.