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Finding the Fourth Proportional to 190,509.98, 285,896.19 and 65,850.98

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Solution

The fourth proportional to 190,509.98, 285,896.19 and 65,850.98 is: 98,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,509.98 : 285,896.19 = 65,850.98 : x
  2. Step 2: Convert to fraction form
    190,509.98/285,896.19 = 65,850.98/x
  3. Step 3: Cross multiply
    190,509.98x = 285,896.19 × 65,850.98
  4. Step 4: Simplify right side
    190,509.98x = 18,826,544,289.77
  5. Step 5: Solve for x
    x = 18,826,544,289.77/190,509.98
  6. Step 6: Final answer
    x = 98,821.83

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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.