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Finding the Fourth Proportional to 189,553.42, 284,373.87 and 100,892.44

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Solution

The fourth proportional to 189,553.42, 284,373.87 and 100,892.44 is: 151,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,553.42 : 284,373.87 = 100,892.44 : x
  2. Step 2: Convert to fraction form
    189,553.42/284,373.87 = 100,892.44/x
  3. Step 3: Cross multiply
    189,553.42x = 284,373.87 × 100,892.44
  4. Step 4: Simplify right side
    189,553.42x = 28,691,173,616.54
  5. Step 5: Solve for x
    x = 28,691,173,616.54/189,553.42
  6. Step 6: Final answer
    x = 151,361.94

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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.