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Finding the Fourth Proportional to 228,805.76, 343,205.00 and 71,034.37

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Solution

The fourth proportional to 228,805.76, 343,205.00 and 71,034.37 is: 106,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,805.76 : 343,205.00 = 71,034.37 : x
  2. Step 2: Convert to fraction form
    228,805.76/343,205.00 = 71,034.37/x
  3. Step 3: Cross multiply
    228,805.76x = 343,205.00 × 71,034.37
  4. Step 4: Simplify right side
    228,805.76x = 24,379,350,009.04
  5. Step 5: Solve for x
    x = 24,379,350,009.04/228,805.76
  6. Step 6: Final answer
    x = 106,550.42

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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.