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Finding the Fourth Proportional to 199,442.68, 299,219.38 and 110,758.46

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Solution

The fourth proportional to 199,442.68, 299,219.38 and 110,758.46 is: 166,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,442.68 : 299,219.38 = 110,758.46 : x
  2. Step 2: Convert to fraction form
    199,442.68/299,219.38 = 110,758.46/x
  3. Step 3: Cross multiply
    199,442.68x = 299,219.38 × 110,758.46
  4. Step 4: Simplify right side
    199,442.68x = 33,141,078,638.38
  5. Step 5: Solve for x
    x = 33,141,078,638.38/199,442.68
  6. Step 6: Final answer
    x = 166,168.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.