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Finding the Fourth Proportional to 228,092.40, 342,138.60 and 204,764.40

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Solution

The fourth proportional to 228,092.40, 342,138.60 and 204,764.40 is: 307,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,092.40 : 342,138.60 = 204,764.40 : x
  2. Step 2: Convert to fraction form
    228,092.40/342,138.60 = 204,764.40/x
  3. Step 3: Cross multiply
    228,092.40x = 342,138.60 × 204,764.40
  4. Step 4: Simplify right side
    228,092.40x = 70,057,805,145.84
  5. Step 5: Solve for x
    x = 70,057,805,145.84/228,092.40
  6. Step 6: Final answer
    x = 307,146.60

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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.