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Finding the Fourth Proportional to 311,055.76, 466,468.92 and 111,322

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Solution

The fourth proportional to 311,055.76, 466,468.92 and 111,322 is: 166,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,055.76 : 466,468.92 = 111,322 : x
  2. Step 2: Convert to fraction form
    311,055.76/466,468.92 = 111,322/x
  3. Step 3: Cross multiply
    311,055.76x = 466,468.92 × 111,322
  4. Step 4: Simplify right side
    311,055.76x = 51,928,253,112.24
  5. Step 5: Solve for x
    x = 51,928,253,112.24/311,055.76
  6. Step 6: Final answer
    x = 166,941.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.