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Finding the Fourth Proportional to 201,463.86, 278,014.30 and 110,819.87

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Solution

The fourth proportional to 201,463.86, 278,014.30 and 110,819.87 is: 152,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463.86 : 278,014.30 = 110,819.87 : x
  2. Step 2: Convert to fraction form
    201,463.86/278,014.30 = 110,819.87/x
  3. Step 3: Cross multiply
    201,463.86x = 278,014.30 × 110,819.87
  4. Step 4: Simplify right side
    201,463.86x = 30,809,508,584.14
  5. Step 5: Solve for x
    x = 30,809,508,584.14/201,463.86
  6. Step 6: Final answer
    x = 152,928.22

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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.