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Finding the Fourth Proportional to 101,398, 152,097 and 27,526

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Solution

The fourth proportional to 101,398, 152,097 and 27,526 is: 41,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,398 : 152,097 = 27,526 : x
  2. Step 2: Convert to fraction form
    101,398/152,097 = 27,526/x
  3. Step 3: Cross multiply
    101,398x = 152,097 × 27,526
  4. Step 4: Simplify right side
    101,398x = 4,186,622,022
  5. Step 5: Solve for x
    x = 4,186,622,022/101,398
  6. Step 6: Final answer
    x = 41,289

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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.