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Finding the Fourth Proportional to 228,067.46, 342,068.60 and 78,304.94

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Solution

The fourth proportional to 228,067.46, 342,068.60 and 78,304.94 is: 117,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,067.46 : 342,068.60 = 78,304.94 : x
  2. Step 2: Convert to fraction form
    228,067.46/342,068.60 = 78,304.94/x
  3. Step 3: Cross multiply
    228,067.46x = 342,068.60 × 78,304.94
  4. Step 4: Simplify right side
    228,067.46x = 26,785,659,488.54
  5. Step 5: Solve for x
    x = 26,785,659,488.54/228,067.46
  6. Step 6: Final answer
    x = 117,446.22

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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.