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Finding the Fourth Proportional to 201,378, 277,901.64 and 111,971.28

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Solution

The fourth proportional to 201,378, 277,901.64 and 111,971.28 is: 154,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,378 : 277,901.64 = 111,971.28 : x
  2. Step 2: Convert to fraction form
    201,378/277,901.64 = 111,971.28/x
  3. Step 3: Cross multiply
    201,378x = 277,901.64 × 111,971.28
  4. Step 4: Simplify right side
    201,378x = 31,117,002,344.90
  5. Step 5: Solve for x
    x = 31,117,002,344.90/201,378
  6. Step 6: Final answer
    x = 154,520.37

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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.