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Finding the Fourth Proportional to 204,926.40, 307,058.40 and 115,915.20

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Solution

The fourth proportional to 204,926.40, 307,058.40 and 115,915.20 is: 173,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,926.40 : 307,058.40 = 115,915.20 : x
  2. Step 2: Convert to fraction form
    204,926.40/307,058.40 = 115,915.20/x
  3. Step 3: Cross multiply
    204,926.40x = 307,058.40 × 115,915.20
  4. Step 4: Simplify right side
    204,926.40x = 35,592,735,847.68
  5. Step 5: Solve for x
    x = 35,592,735,847.68/204,926.40
  6. Step 6: Final answer
    x = 173,685.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.