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Finding the Fourth Proportional to 202,971.87, 280,101.71 and 112,334.09

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Solution

The fourth proportional to 202,971.87, 280,101.71 and 112,334.09 is: 155,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,971.87 : 280,101.71 = 112,334.09 : x
  2. Step 2: Convert to fraction form
    202,971.87/280,101.71 = 112,334.09/x
  3. Step 3: Cross multiply
    202,971.87x = 280,101.71 × 112,334.09
  4. Step 4: Simplify right side
    202,971.87x = 31,464,969,580.62
  5. Step 5: Solve for x
    x = 31,464,969,580.62/202,971.87
  6. Step 6: Final answer
    x = 155,021.33

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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.