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Finding the Fourth Proportional to 299,165.42, 412,849.63 and 163,198.94

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Solution

The fourth proportional to 299,165.42, 412,849.63 and 163,198.94 is: 225,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,165.42 : 412,849.63 = 163,198.94 : x
  2. Step 2: Convert to fraction form
    299,165.42/412,849.63 = 163,198.94/x
  3. Step 3: Cross multiply
    299,165.42x = 412,849.63 × 163,198.94
  4. Step 4: Simplify right side
    299,165.42x = 67,376,621,179.40
  5. Step 5: Solve for x
    x = 67,376,621,179.40/299,165.42
  6. Step 6: Final answer
    x = 225,215.27

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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.