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Finding the Fourth Proportional to 123,861.06, 185,792.22 and 30,366.90

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Solution

The fourth proportional to 123,861.06, 185,792.22 and 30,366.90 is: 45,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,861.06 : 185,792.22 = 30,366.90 : x
  2. Step 2: Convert to fraction form
    123,861.06/185,792.22 = 30,366.90/x
  3. Step 3: Cross multiply
    123,861.06x = 185,792.22 × 30,366.90
  4. Step 4: Simplify right side
    123,861.06x = 5,641,933,765.52
  5. Step 5: Solve for x
    x = 5,641,933,765.52/123,861.06
  6. Step 6: Final answer
    x = 45,550.50

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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.