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Finding the Fourth Proportional to 201,900.33, 278,622.47 and 117,066.60

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Solution

The fourth proportional to 201,900.33, 278,622.47 and 117,066.60 is: 161,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,900.33 : 278,622.47 = 117,066.60 : x
  2. Step 2: Convert to fraction form
    201,900.33/278,622.47 = 117,066.60/x
  3. Step 3: Cross multiply
    201,900.33x = 278,622.47 × 117,066.60
  4. Step 4: Simplify right side
    201,900.33x = 32,617,383,268.06
  5. Step 5: Solve for x
    x = 32,617,383,268.06/201,900.33
  6. Step 6: Final answer
    x = 161,551.91

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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.