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Finding the Fourth Proportional to 299,124.70, 412,793.38 and 163,161.57

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Solution

The fourth proportional to 299,124.70, 412,793.38 and 163,161.57 is: 225,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,124.70 : 412,793.38 = 163,161.57 : x
  2. Step 2: Convert to fraction form
    299,124.70/412,793.38 = 163,161.57/x
  3. Step 3: Cross multiply
    299,124.70x = 412,793.38 × 163,161.57
  4. Step 4: Simplify right side
    299,124.70x = 67,352,015,966.41
  5. Step 5: Solve for x
    x = 67,352,015,966.41/299,124.70
  6. Step 6: Final answer
    x = 225,163.67

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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.