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Finding the Fourth Proportional to 228,818.14, 343,223.53 and 71,046.74

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Solution

The fourth proportional to 228,818.14, 343,223.53 and 71,046.74 is: 106,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,818.14 : 343,223.53 = 71,046.74 : x
  2. Step 2: Convert to fraction form
    228,818.14/343,223.53 = 71,046.74/x
  3. Step 3: Cross multiply
    228,818.14x = 343,223.53 × 71,046.74
  4. Step 4: Simplify right side
    228,818.14x = 24,384,913,578.23
  5. Step 5: Solve for x
    x = 24,384,913,578.23/228,818.14
  6. Step 6: Final answer
    x = 106,568.97

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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.