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Finding the Fourth Proportional to 299,166.16, 412,850.46 and 163,202.98

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Solution

The fourth proportional to 299,166.16, 412,850.46 and 163,202.98 is: 225,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,166.16 : 412,850.46 = 163,202.98 : x
  2. Step 2: Convert to fraction form
    299,166.16/412,850.46 = 163,202.98/x
  3. Step 3: Cross multiply
    299,166.16x = 412,850.46 × 163,202.98
  4. Step 4: Simplify right side
    299,166.16x = 67,378,425,366.37
  5. Step 5: Solve for x
    x = 67,378,425,366.37/299,166.16
  6. Step 6: Final answer
    x = 225,220.74

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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.