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Finding the Fourth Proportional to 316,797.72, 475,151.94 and 80,125.80

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Solution

The fourth proportional to 316,797.72, 475,151.94 and 80,125.80 is: 120,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,797.72 : 475,151.94 = 80,125.80 : x
  2. Step 2: Convert to fraction form
    316,797.72/475,151.94 = 80,125.80/x
  3. Step 3: Cross multiply
    316,797.72x = 475,151.94 × 80,125.80
  4. Step 4: Simplify right side
    316,797.72x = 38,071,929,314.05
  5. Step 5: Solve for x
    x = 38,071,929,314.05/316,797.72
  6. Step 6: Final answer
    x = 120,177.41

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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.