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Finding the Fourth Proportional to 299,049.30, 412,697.94 and 163,094.43

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Solution

The fourth proportional to 299,049.30, 412,697.94 and 163,094.43 is: 225,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,049.30 : 412,697.94 = 163,094.43 : x
  2. Step 2: Convert to fraction form
    299,049.30/412,697.94 = 163,094.43/x
  3. Step 3: Cross multiply
    299,049.30x = 412,697.94 × 163,094.43
  4. Step 4: Simplify right side
    299,049.30x = 67,308,735,286.47
  5. Step 5: Solve for x
    x = 67,308,735,286.47/299,049.30
  6. Step 6: Final answer
    x = 225,075.72

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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.