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Finding the Fourth Proportional to 200,021.60, 275,899.74 and 128,288

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Solution

The fourth proportional to 200,021.60, 275,899.74 and 128,288 is: 176,954.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,021.60 : 275,899.74 = 128,288 : x
  2. Step 2: Convert to fraction form
    200,021.60/275,899.74 = 128,288/x
  3. Step 3: Cross multiply
    200,021.60x = 275,899.74 × 128,288
  4. Step 4: Simplify right side
    200,021.60x = 35,394,625,845.12
  5. Step 5: Solve for x
    x = 35,394,625,845.12/200,021.60
  6. Step 6: Final answer
    x = 176,954.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.