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Finding the Fourth Proportional to 201,996, 278,754.39 and 111,353.40

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Solution

The fourth proportional to 201,996, 278,754.39 and 111,353.40 is: 153,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,996 : 278,754.39 = 111,353.40 : x
  2. Step 2: Convert to fraction form
    201,996/278,754.39 = 111,353.40/x
  3. Step 3: Cross multiply
    201,996x = 278,754.39 × 111,353.40
  4. Step 4: Simplify right side
    201,996x = 31,040,249,091.43
  5. Step 5: Solve for x
    x = 31,040,249,091.43/201,996
  6. Step 6: Final answer
    x = 153,667.64

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Why These Related Problems?

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