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Finding the Fourth Proportional to 299,165.20, 448,915.47 and 158,920.18

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Solution

The fourth proportional to 299,165.20, 448,915.47 and 158,920.18 is: 238,469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,165.20 : 448,915.47 = 158,920.18 : x
  2. Step 2: Convert to fraction form
    299,165.20/448,915.47 = 158,920.18/x
  3. Step 3: Cross multiply
    299,165.20x = 448,915.47 × 158,920.18
  4. Step 4: Simplify right side
    299,165.20x = 71,341,725,578.95
  5. Step 5: Solve for x
    x = 71,341,725,578.95/299,165.20
  6. Step 6: Final answer
    x = 238,469.33

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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.