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Finding the Fourth Proportional to 311,102.67, 466,750.90 and 111,424.79

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Solution

The fourth proportional to 311,102.67, 466,750.90 and 111,424.79 is: 167,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,102.67 : 466,750.90 = 111,424.79 : x
  2. Step 2: Convert to fraction form
    311,102.67/466,750.90 = 111,424.79/x
  3. Step 3: Cross multiply
    311,102.67x = 466,750.90 × 111,424.79
  4. Step 4: Simplify right side
    311,102.67x = 52,007,621,014.81
  5. Step 5: Solve for x
    x = 52,007,621,014.81/311,102.67
  6. Step 6: Final answer
    x = 167,171.89

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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.