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Finding the Fourth Proportional to 204,696.90, 306,671.22 and 148,397.40

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Solution

The fourth proportional to 204,696.90, 306,671.22 and 148,397.40 is: 222,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,696.90 : 306,671.22 = 148,397.40 : x
  2. Step 2: Convert to fraction form
    204,696.90/306,671.22 = 148,397.40/x
  3. Step 3: Cross multiply
    204,696.90x = 306,671.22 × 148,397.40
  4. Step 4: Simplify right side
    204,696.90x = 45,509,211,702.83
  5. Step 5: Solve for x
    x = 45,509,211,702.83/204,696.90
  6. Step 6: Final answer
    x = 222,324.87

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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.