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Finding the Fourth Proportional to 311,101.67, 466,749.40 and 111,423.79

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Solution

The fourth proportional to 311,101.67, 466,749.40 and 111,423.79 is: 167,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,101.67 : 466,749.40 = 111,423.79 : x
  2. Step 2: Convert to fraction form
    311,101.67/466,749.40 = 111,423.79/x
  3. Step 3: Cross multiply
    311,101.67x = 466,749.40 × 111,423.79
  4. Step 4: Simplify right side
    311,101.67x = 52,006,986,015.91
  5. Step 5: Solve for x
    x = 52,006,986,015.91/311,101.67
  6. Step 6: Final answer
    x = 167,170.38

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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.