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Finding the Fourth Proportional to 316,902.34, 475,354.58 and 80,244.90

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Solution

The fourth proportional to 316,902.34, 475,354.58 and 80,244.90 is: 120,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,902.34 : 475,354.58 = 80,244.90 : x
  2. Step 2: Convert to fraction form
    316,902.34/475,354.58 = 80,244.90/x
  3. Step 3: Cross multiply
    316,902.34x = 475,354.58 × 80,244.90
  4. Step 4: Simplify right side
    316,902.34x = 38,144,780,736.64
  5. Step 5: Solve for x
    x = 38,144,780,736.64/316,902.34
  6. Step 6: Final answer
    x = 120,367.62

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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.