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Finding the Fourth Proportional to 299,082.96, 412,732.74 and 163,114.32

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Solution

The fourth proportional to 299,082.96, 412,732.74 and 163,114.32 is: 225,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,082.96 : 412,732.74 = 163,114.32 : x
  2. Step 2: Convert to fraction form
    299,082.96/412,732.74 = 163,114.32/x
  3. Step 3: Cross multiply
    299,082.96x = 412,732.74 × 163,114.32
  4. Step 4: Simplify right side
    299,082.96x = 67,322,620,226.84
  5. Step 5: Solve for x
    x = 67,322,620,226.84/299,082.96
  6. Step 6: Final answer
    x = 225,096.81

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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.