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Finding the Fourth Proportional to 219,623, 303,080.82 and 119,021

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Solution

The fourth proportional to 219,623, 303,080.82 and 119,021 is: 164,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,623 : 303,080.82 = 119,021 : x
  2. Step 2: Convert to fraction form
    219,623/303,080.82 = 119,021/x
  3. Step 3: Cross multiply
    219,623x = 303,080.82 × 119,021
  4. Step 4: Simplify right side
    219,623x = 36,072,982,277.22
  5. Step 5: Solve for x
    x = 36,072,982,277.22/219,623
  6. Step 6: Final answer
    x = 164,249.57

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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.