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Finding the Fourth Proportional to 202,042.09, 278,820.26 and 110,160.62

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Solution

The fourth proportional to 202,042.09, 278,820.26 and 110,160.62 is: 152,022.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,042.09 : 278,820.26 = 110,160.62 : x
  2. Step 2: Convert to fraction form
    202,042.09/278,820.26 = 110,160.62/x
  3. Step 3: Cross multiply
    202,042.09x = 278,820.26 × 110,160.62
  4. Step 4: Simplify right side
    202,042.09x = 30,715,012,223.94
  5. Step 5: Solve for x
    x = 30,715,012,223.94/202,042.09
  6. Step 6: Final answer
    x = 152,022.84

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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.