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Finding the Fourth Proportional to 150,932, 208,293 and 83,864

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Solution

The fourth proportional to 150,932, 208,293 and 83,864 is: 115,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,932 : 208,293 = 83,864 : x
  2. Step 2: Convert to fraction form
    150,932/208,293 = 83,864/x
  3. Step 3: Cross multiply
    150,932x = 208,293 × 83,864
  4. Step 4: Simplify right side
    150,932x = 17,468,284,152
  5. Step 5: Solve for x
    x = 17,468,284,152/150,932
  6. Step 6: Final answer
    x = 115,736.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.