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Finding the Fourth Proportional to 202,923.99, 280,147.73 and 122,371.92

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Solution

The fourth proportional to 202,923.99, 280,147.73 and 122,371.92 is: 168,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,923.99 : 280,147.73 = 122,371.92 : x
  2. Step 2: Convert to fraction form
    202,923.99/280,147.73 = 122,371.92/x
  3. Step 3: Cross multiply
    202,923.99x = 280,147.73 × 122,371.92
  4. Step 4: Simplify right side
    202,923.99x = 34,282,214,991.88
  5. Step 5: Solve for x
    x = 34,282,214,991.88/202,923.99
  6. Step 6: Final answer
    x = 168,941.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.