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Finding the Fourth Proportional to 228,771.80, 343,352.10 and 102,606.20

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Solution

The fourth proportional to 228,771.80, 343,352.10 and 102,606.20 is: 153,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,771.80 : 343,352.10 = 102,606.20 : x
  2. Step 2: Convert to fraction form
    228,771.80/343,352.10 = 102,606.20/x
  3. Step 3: Cross multiply
    228,771.80x = 343,352.10 × 102,606.20
  4. Step 4: Simplify right side
    228,771.80x = 35,230,054,243.02
  5. Step 5: Solve for x
    x = 35,230,054,243.02/228,771.80
  6. Step 6: Final answer
    x = 153,996.49

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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.