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Finding the Fourth Proportional to 201,710.77, 278,349.91 and 111,049.54

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Solution

The fourth proportional to 201,710.77, 278,349.91 and 111,049.54 is: 153,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710.77 : 278,349.91 = 111,049.54 : x
  2. Step 2: Convert to fraction form
    201,710.77/278,349.91 = 111,049.54/x
  3. Step 3: Cross multiply
    201,710.77x = 278,349.91 × 111,049.54
  4. Step 4: Simplify right side
    201,710.77x = 30,910,629,233.33
  5. Step 5: Solve for x
    x = 30,910,629,233.33/201,710.77
  6. Step 6: Final answer
    x = 153,242.34

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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.