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Finding the Fourth Proportional to 202,005.48, 278,768.21 and 111,359.46

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Solution

The fourth proportional to 202,005.48, 278,768.21 and 111,359.46 is: 153,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005.48 : 278,768.21 = 111,359.46 : x
  2. Step 2: Convert to fraction form
    202,005.48/278,768.21 = 111,359.46/x
  3. Step 3: Cross multiply
    202,005.48x = 278,768.21 × 111,359.46
  4. Step 4: Simplify right side
    202,005.48x = 31,043,476,773.97
  5. Step 5: Solve for x
    x = 31,043,476,773.97/202,005.48
  6. Step 6: Final answer
    x = 153,676.41

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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.