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Finding the Fourth Proportional to 311,332.62, 467,064.48 and 100,954.14

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Solution

The fourth proportional to 311,332.62, 467,064.48 and 100,954.14 is: 151,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,332.62 : 467,064.48 = 100,954.14 : x
  2. Step 2: Convert to fraction form
    311,332.62/467,064.48 = 100,954.14/x
  3. Step 3: Cross multiply
    311,332.62x = 467,064.48 × 100,954.14
  4. Step 4: Simplify right side
    311,332.62x = 47,152,092,902.95
  5. Step 5: Solve for x
    x = 47,152,092,902.95/311,332.62
  6. Step 6: Final answer
    x = 151,452.47

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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.