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Finding the Fourth Proportional to 201,446.64, 278,014.41 and 110,820.60

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Solution

The fourth proportional to 201,446.64, 278,014.41 and 110,820.60 is: 152,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,446.64 : 278,014.41 = 110,820.60 : x
  2. Step 2: Convert to fraction form
    201,446.64/278,014.41 = 110,820.60/x
  3. Step 3: Cross multiply
    201,446.64x = 278,014.41 × 110,820.60
  4. Step 4: Simplify right side
    201,446.64x = 30,809,723,724.85
  5. Step 5: Solve for x
    x = 30,809,723,724.85/201,446.64
  6. Step 6: Final answer
    x = 152,942.36

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1.5x scale

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.