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Finding the Fourth Proportional to 206,934.60, 310,401.90 and 73,819.20

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Solution

The fourth proportional to 206,934.60, 310,401.90 and 73,819.20 is: 110,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,934.60 : 310,401.90 = 73,819.20 : x
  2. Step 2: Convert to fraction form
    206,934.60/310,401.90 = 73,819.20/x
  3. Step 3: Cross multiply
    206,934.60x = 310,401.90 × 73,819.20
  4. Step 4: Simplify right side
    206,934.60x = 22,913,619,936.48
  5. Step 5: Solve for x
    x = 22,913,619,936.48/206,934.60
  6. Step 6: Final answer
    x = 110,728.80

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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.