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Finding the Fourth Proportional to 290,696.86, 401,194.92 and 161,648.20

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Solution

The fourth proportional to 290,696.86, 401,194.92 and 161,648.20 is: 223,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,696.86 : 401,194.92 = 161,648.20 : x
  2. Step 2: Convert to fraction form
    290,696.86/401,194.92 = 161,648.20/x
  3. Step 3: Cross multiply
    290,696.86x = 401,194.92 × 161,648.20
  4. Step 4: Simplify right side
    290,696.86x = 64,852,436,667.14
  5. Step 5: Solve for x
    x = 64,852,436,667.14/290,696.86
  6. Step 6: Final answer
    x = 223,093.01

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Why These Related Problems?

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