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Finding the Fourth Proportional to 357,471.09, 536,087.57 and 144,183.92

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Solution

The fourth proportional to 357,471.09, 536,087.57 and 144,183.92 is: 216,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,471.09 : 536,087.57 = 144,183.92 : x
  2. Step 2: Convert to fraction form
    357,471.09/536,087.57 = 144,183.92/x
  3. Step 3: Cross multiply
    357,471.09x = 536,087.57 × 144,183.92
  4. Step 4: Simplify right side
    357,471.09x = 77,295,203,904.52
  5. Step 5: Solve for x
    x = 77,295,203,904.52/357,471.09
  6. Step 6: Final answer
    x = 216,227.85

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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.