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Finding the Fourth Proportional to 189,861.60, 284,792.40 and 101,069.40

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Solution

The fourth proportional to 189,861.60, 284,792.40 and 101,069.40 is: 151,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,861.60 : 284,792.40 = 101,069.40 : x
  2. Step 2: Convert to fraction form
    189,861.60/284,792.40 = 101,069.40/x
  3. Step 3: Cross multiply
    189,861.60x = 284,792.40 × 101,069.40
  4. Step 4: Simplify right side
    189,861.60x = 28,783,796,992.56
  5. Step 5: Solve for x
    x = 28,783,796,992.56/189,861.60
  6. Step 6: Final answer
    x = 151,604.10

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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.