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Finding the Fourth Proportional to 189,553.74, 284,251.56 and 77,157.90

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Solution

The fourth proportional to 189,553.74, 284,251.56 and 77,157.90 is: 115,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,553.74 : 284,251.56 = 77,157.90 : x
  2. Step 2: Convert to fraction form
    189,553.74/284,251.56 = 77,157.90/x
  3. Step 3: Cross multiply
    189,553.74x = 284,251.56 × 77,157.90
  4. Step 4: Simplify right side
    189,553.74x = 21,932,253,441.32
  5. Step 5: Solve for x
    x = 21,932,253,441.32/189,553.74
  6. Step 6: Final answer
    x = 115,704.67

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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.