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Finding the Fourth Proportional to 206,334.60, 309,103.37 and 152,203.92

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Solution

The fourth proportional to 206,334.60, 309,103.37 and 152,203.92 is: 228,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,334.60 : 309,103.37 = 152,203.92 : x
  2. Step 2: Convert to fraction form
    206,334.60/309,103.37 = 152,203.92/x
  3. Step 3: Cross multiply
    206,334.60x = 309,103.37 × 152,203.92
  4. Step 4: Simplify right side
    206,334.60x = 47,046,744,599.21
  5. Step 5: Solve for x
    x = 47,046,744,599.21/206,334.60
  6. Step 6: Final answer
    x = 228,011.90

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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.