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Finding the Fourth Proportional to 197,833.87, 273,024.14 and 111,763.00

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Solution

The fourth proportional to 197,833.87, 273,024.14 and 111,763.00 is: 154,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,833.87 : 273,024.14 = 111,763.00 : x
  2. Step 2: Convert to fraction form
    197,833.87/273,024.14 = 111,763.00/x
  3. Step 3: Cross multiply
    197,833.87x = 273,024.14 × 111,763.00
  4. Step 4: Simplify right side
    197,833.87x = 30,513,997,501.68
  5. Step 5: Solve for x
    x = 30,513,997,501.68/197,833.87
  6. Step 6: Final answer
    x = 154,240.51

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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.