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Finding the Fourth Proportional to 212,882.64, 293,791.38 and 117,389.28

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Solution

The fourth proportional to 212,882.64, 293,791.38 and 117,389.28 is: 162,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,882.64 : 293,791.38 = 117,389.28 : x
  2. Step 2: Convert to fraction form
    212,882.64/293,791.38 = 117,389.28/x
  3. Step 3: Cross multiply
    212,882.64x = 293,791.38 × 117,389.28
  4. Step 4: Simplify right side
    212,882.64x = 34,487,958,568.41
  5. Step 5: Solve for x
    x = 34,487,958,568.41/212,882.64
  6. Step 6: Final answer
    x = 162,004.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.