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Finding the Fourth Proportional to 201,904.54, 278,609.22 and 119,105.60

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Solution

The fourth proportional to 201,904.54, 278,609.22 and 119,105.60 is: 164,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904.54 : 278,609.22 = 119,105.60 : x
  2. Step 2: Convert to fraction form
    201,904.54/278,609.22 = 119,105.60/x
  3. Step 3: Cross multiply
    201,904.54x = 278,609.22 × 119,105.60
  4. Step 4: Simplify right side
    201,904.54x = 33,183,919,010.16
  5. Step 5: Solve for x
    x = 33,183,919,010.16/201,904.54
  6. Step 6: Final answer
    x = 164,354.50

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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.