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Finding the Fourth Proportional to 277,722.12, 383,148 and 161,416.26

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Solution

The fourth proportional to 277,722.12, 383,148 and 161,416.26 is: 222,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,722.12 : 383,148 = 161,416.26 : x
  2. Step 2: Convert to fraction form
    277,722.12/383,148 = 161,416.26/x
  3. Step 3: Cross multiply
    277,722.12x = 383,148 × 161,416.26
  4. Step 4: Simplify right side
    277,722.12x = 61,846,317,186.48
  5. Step 5: Solve for x
    x = 61,846,317,186.48/277,722.12
  6. Step 6: Final answer
    x = 222,691.36

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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.