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Finding the Fourth Proportional to 316,821.52, 475,233.26 and 80,164.15

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Solution

The fourth proportional to 316,821.52, 475,233.26 and 80,164.15 is: 120,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,821.52 : 475,233.26 = 80,164.15 : x
  2. Step 2: Convert to fraction form
    316,821.52/475,233.26 = 80,164.15/x
  3. Step 3: Cross multiply
    316,821.52x = 475,233.26 × 80,164.15
  4. Step 4: Simplify right side
    316,821.52x = 38,096,670,339.63
  5. Step 5: Solve for x
    x = 38,096,670,339.63/316,821.52
  6. Step 6: Final answer
    x = 120,246.47

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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.