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Finding the Fourth Proportional to 201,635.84, 278,253.96 and 110,993.60

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Solution

The fourth proportional to 201,635.84, 278,253.96 and 110,993.60 is: 153,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,635.84 : 278,253.96 = 110,993.60 : x
  2. Step 2: Convert to fraction form
    201,635.84/278,253.96 = 110,993.60/x
  3. Step 3: Cross multiply
    201,635.84x = 278,253.96 × 110,993.60
  4. Step 4: Simplify right side
    201,635.84x = 30,884,408,734.66
  5. Step 5: Solve for x
    x = 30,884,408,734.66/201,635.84
  6. Step 6: Final answer
    x = 153,169.24

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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.