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Finding the Fourth Proportional to 201,722.78, 278,366.41 and 111,061.53

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Solution

The fourth proportional to 201,722.78, 278,366.41 and 111,061.53 is: 153,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,722.78 : 278,366.41 = 111,061.53 : x
  2. Step 2: Convert to fraction form
    201,722.78/278,366.41 = 111,061.53/x
  3. Step 3: Cross multiply
    201,722.78x = 278,366.41 × 111,061.53
  4. Step 4: Simplify right side
    201,722.78x = 30,915,797,448.07
  5. Step 5: Solve for x
    x = 30,915,797,448.07/201,722.78
  6. Step 6: Final answer
    x = 153,258.83

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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.