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Finding the Fourth Proportional to 311,570.25, 467,168.19 and 121,804.61

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Solution

The fourth proportional to 311,570.25, 467,168.19 and 121,804.61 is: 182,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,570.25 : 467,168.19 = 121,804.61 : x
  2. Step 2: Convert to fraction form
    311,570.25/467,168.19 = 121,804.61/x
  3. Step 3: Cross multiply
    311,570.25x = 467,168.19 × 121,804.61
  4. Step 4: Simplify right side
    311,570.25x = 56,903,236,851.52
  5. Step 5: Solve for x
    x = 56,903,236,851.52/311,570.25
  6. Step 6: Final answer
    x = 182,633.73

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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.