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Finding the Fourth Proportional to 133,793, 200,702.94 and 35,297

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Solution

The fourth proportional to 133,793, 200,702.94 and 35,297 is: 52,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,793 : 200,702.94 = 35,297 : x
  2. Step 2: Convert to fraction form
    133,793/200,702.94 = 35,297/x
  3. Step 3: Cross multiply
    133,793x = 200,702.94 × 35,297
  4. Step 4: Simplify right side
    133,793x = 7,084,211,673.18
  5. Step 5: Solve for x
    x = 7,084,211,673.18/133,793
  6. Step 6: Final answer
    x = 52,949.05

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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.