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Finding the Fourth Proportional to 201,874.41, 278,585.30 and 111,228.27

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Solution

The fourth proportional to 201,874.41, 278,585.30 and 111,228.27 is: 153,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,874.41 : 278,585.30 = 111,228.27 : x
  2. Step 2: Convert to fraction form
    201,874.41/278,585.30 = 111,228.27/x
  3. Step 3: Cross multiply
    201,874.41x = 278,585.30 × 111,228.27
  4. Step 4: Simplify right side
    201,874.41x = 30,986,560,199.81
  5. Step 5: Solve for x
    x = 30,986,560,199.81/201,874.41
  6. Step 6: Final answer
    x = 153,494.25

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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.