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Finding the Fourth Proportional to 329,798.50, 494,672.88 and 105,149.86

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Solution

The fourth proportional to 329,798.50, 494,672.88 and 105,149.86 is: 157,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,798.50 : 494,672.88 = 105,149.86 : x
  2. Step 2: Convert to fraction form
    329,798.50/494,672.88 = 105,149.86/x
  3. Step 3: Cross multiply
    329,798.50x = 494,672.88 × 105,149.86
  4. Step 4: Simplify right side
    329,798.50x = 52,014,784,077.80
  5. Step 5: Solve for x
    x = 52,014,784,077.80/329,798.50
  6. Step 6: Final answer
    x = 157,716.86

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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.