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Finding the Fourth Proportional to 228,977.60, 343,498.80 and 71,189.60

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Solution

The fourth proportional to 228,977.60, 343,498.80 and 71,189.60 is: 106,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,977.60 : 343,498.80 = 71,189.60 : x
  2. Step 2: Convert to fraction form
    228,977.60/343,498.80 = 71,189.60/x
  3. Step 3: Cross multiply
    228,977.60x = 343,498.80 × 71,189.60
  4. Step 4: Simplify right side
    228,977.60x = 24,453,542,172.48
  5. Step 5: Solve for x
    x = 24,453,542,172.48/228,977.60
  6. Step 6: Final answer
    x = 106,794.47

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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.