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Finding the Fourth Proportional to 225,977.76, 311,933.16 and 194,018.40

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Solution

The fourth proportional to 225,977.76, 311,933.16 and 194,018.40 is: 267,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,977.76 : 311,933.16 = 194,018.40 : x
  2. Step 2: Convert to fraction form
    225,977.76/311,933.16 = 194,018.40/x
  3. Step 3: Cross multiply
    225,977.76x = 311,933.16 × 194,018.40
  4. Step 4: Simplify right side
    225,977.76x = 60,520,772,610.14
  5. Step 5: Solve for x
    x = 60,520,772,610.14/225,977.76
  6. Step 6: Final answer
    x = 267,817.38

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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.