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Finding the Fourth Proportional to 297,122.22, 410,024.97 and 161,154

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Solution

The fourth proportional to 297,122.22, 410,024.97 and 161,154 is: 222,390.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,122.22 : 410,024.97 = 161,154 : x
  2. Step 2: Convert to fraction form
    297,122.22/410,024.97 = 161,154/x
  3. Step 3: Cross multiply
    297,122.22x = 410,024.97 × 161,154
  4. Step 4: Simplify right side
    297,122.22x = 66,077,164,015.38
  5. Step 5: Solve for x
    x = 66,077,164,015.38/297,122.22
  6. Step 6: Final answer
    x = 222,390.52

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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.