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Finding the Fourth Proportional to 212,882.94, 293,767.38 and 132,308.73

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Solution

The fourth proportional to 212,882.94, 293,767.38 and 132,308.73 is: 182,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,882.94 : 293,767.38 = 132,308.73 : x
  2. Step 2: Convert to fraction form
    212,882.94/293,767.38 = 132,308.73/x
  3. Step 3: Cross multiply
    212,882.94x = 293,767.38 × 132,308.73
  4. Step 4: Simplify right side
    212,882.94x = 38,867,988,963.23
  5. Step 5: Solve for x
    x = 38,867,988,963.23/212,882.94
  6. Step 6: Final answer
    x = 182,579.16

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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.