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Finding the Fourth Proportional to 160,920, 241,414.56 and 62,424

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Solution

The fourth proportional to 160,920, 241,414.56 and 62,424 is: 93,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,920 : 241,414.56 = 62,424 : x
  2. Step 2: Convert to fraction form
    160,920/241,414.56 = 62,424/x
  3. Step 3: Cross multiply
    160,920x = 241,414.56 × 62,424
  4. Step 4: Simplify right side
    160,920x = 15,070,062,493.44
  5. Step 5: Solve for x
    x = 15,070,062,493.44/160,920
  6. Step 6: Final answer
    x = 93,649.41

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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.