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Finding the Fourth Proportional to 311,859.12, 467,784.60 and 75,200.04

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Solution

The fourth proportional to 311,859.12, 467,784.60 and 75,200.04 is: 112,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,859.12 : 467,784.60 = 75,200.04 : x
  2. Step 2: Convert to fraction form
    311,859.12/467,784.60 = 75,200.04/x
  3. Step 3: Cross multiply
    311,859.12x = 467,784.60 × 75,200.04
  4. Step 4: Simplify right side
    311,859.12x = 35,177,420,631.38
  5. Step 5: Solve for x
    x = 35,177,420,631.38/311,859.12
  6. Step 6: Final answer
    x = 112,799.08

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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.