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Finding the Fourth Proportional to 133,795, 200,705.94 and 35,299

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Solution

The fourth proportional to 133,795, 200,705.94 and 35,299 is: 52,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,795 : 200,705.94 = 35,299 : x
  2. Step 2: Convert to fraction form
    133,795/200,705.94 = 35,299/x
  3. Step 3: Cross multiply
    133,795x = 200,705.94 × 35,299
  4. Step 4: Simplify right side
    133,795x = 7,084,718,976.06
  5. Step 5: Solve for x
    x = 7,084,718,976.06/133,795
  6. Step 6: Final answer
    x = 52,952.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.