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Finding the Fourth Proportional to 228,815.83, 343,220.06 and 71,044.43

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Solution

The fourth proportional to 228,815.83, 343,220.06 and 71,044.43 is: 106,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,815.83 : 343,220.06 = 71,044.43 : x
  2. Step 2: Convert to fraction form
    228,815.83/343,220.06 = 71,044.43/x
  3. Step 3: Cross multiply
    228,815.83x = 343,220.06 × 71,044.43
  4. Step 4: Simplify right side
    228,815.83x = 24,383,873,527.27
  5. Step 5: Solve for x
    x = 24,383,873,527.27/228,815.83
  6. Step 6: Final answer
    x = 106,565.50

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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.