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Finding the Fourth Proportional to 150,678.17, 207,935.25 and 82,696.26

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Solution

The fourth proportional to 150,678.17, 207,935.25 and 82,696.26 is: 114,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,678.17 : 207,935.25 = 82,696.26 : x
  2. Step 2: Convert to fraction form
    150,678.17/207,935.25 = 82,696.26/x
  3. Step 3: Cross multiply
    150,678.17x = 207,935.25 × 82,696.26
  4. Step 4: Simplify right side
    150,678.17x = 17,195,467,262.34
  5. Step 5: Solve for x
    x = 17,195,467,262.34/150,678.17
  6. Step 6: Final answer
    x = 114,120.49

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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.