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Finding the Fourth Proportional to 228,889.10, 343,366.05 and 71,101.10

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Solution

The fourth proportional to 228,889.10, 343,366.05 and 71,101.10 is: 106,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,889.10 : 343,366.05 = 71,101.10 : x
  2. Step 2: Convert to fraction form
    228,889.10/343,366.05 = 71,101.10/x
  3. Step 3: Cross multiply
    228,889.10x = 343,366.05 × 71,101.10
  4. Step 4: Simplify right side
    228,889.10x = 24,413,703,857.66
  5. Step 5: Solve for x
    x = 24,413,703,857.66/228,889.10
  6. Step 6: Final answer
    x = 106,661.71

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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.