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Finding the Fourth Proportional to 201,042.86, 302,976.22 and 181,077.38

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Solution

The fourth proportional to 201,042.86, 302,976.22 and 181,077.38 is: 272,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042.86 : 302,976.22 = 181,077.38 : x
  2. Step 2: Convert to fraction form
    201,042.86/302,976.22 = 181,077.38/x
  3. Step 3: Cross multiply
    201,042.86x = 302,976.22 × 181,077.38
  4. Step 4: Simplify right side
    201,042.86x = 54,862,140,119.90
  5. Step 5: Solve for x
    x = 54,862,140,119.90/201,042.86
  6. Step 6: Final answer
    x = 272,887.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.