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Finding the Fourth Proportional to 277,690.34, 383,204.97 and 164,513.09

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Solution

The fourth proportional to 277,690.34, 383,204.97 and 164,513.09 is: 227,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,690.34 : 383,204.97 = 164,513.09 : x
  2. Step 2: Convert to fraction form
    277,690.34/383,204.97 = 164,513.09/x
  3. Step 3: Cross multiply
    277,690.34x = 383,204.97 × 164,513.09
  4. Step 4: Simplify right side
    277,690.34x = 63,042,231,802.03
  5. Step 5: Solve for x
    x = 63,042,231,802.03/277,690.34
  6. Step 6: Final answer
    x = 227,023.50

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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.