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Finding the Fourth Proportional to 201,532.44, 278,085.42 and 120,942.84

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Solution

The fourth proportional to 201,532.44, 278,085.42 and 120,942.84 is: 166,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,532.44 : 278,085.42 = 120,942.84 : x
  2. Step 2: Convert to fraction form
    201,532.44/278,085.42 = 120,942.84/x
  3. Step 3: Cross multiply
    201,532.44x = 278,085.42 × 120,942.84
  4. Step 4: Simplify right side
    201,532.44x = 33,632,440,457.39
  5. Step 5: Solve for x
    x = 33,632,440,457.39/201,532.44
  6. Step 6: Final answer
    x = 166,883.51

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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.