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Finding the Fourth Proportional to 311,116.30, 466,771.32 and 111,438.41

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Solution

The fourth proportional to 311,116.30, 466,771.32 and 111,438.41 is: 167,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,116.30 : 466,771.32 = 111,438.41 : x
  2. Step 2: Convert to fraction form
    311,116.30/466,771.32 = 111,438.41/x
  3. Step 3: Cross multiply
    311,116.30x = 466,771.32 × 111,438.41
  4. Step 4: Simplify right side
    311,116.30x = 52,016,253,734.40
  5. Step 5: Solve for x
    x = 52,016,253,734.40/311,116.30
  6. Step 6: Final answer
    x = 167,192.31

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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.