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Finding the Fourth Proportional to 299,166.92, 412,851.70 and 163,200.44

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Solution

The fourth proportional to 299,166.92, 412,851.70 and 163,200.44 is: 225,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,166.92 : 412,851.70 = 163,200.44 : x
  2. Step 2: Convert to fraction form
    299,166.92/412,851.70 = 163,200.44/x
  3. Step 3: Cross multiply
    299,166.92x = 412,851.70 × 163,200.44
  4. Step 4: Simplify right side
    299,166.92x = 67,377,578,278.75
  5. Step 5: Solve for x
    x = 67,377,578,278.75/299,166.92
  6. Step 6: Final answer
    x = 225,217.34

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1.5x scale

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.