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Finding the Fourth Proportional to 213,789.97, 295,010.06 and 144,738.97

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Solution

The fourth proportional to 213,789.97, 295,010.06 and 144,738.97 is: 199,726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,789.97 : 295,010.06 = 144,738.97 : x
  2. Step 2: Convert to fraction form
    213,789.97/295,010.06 = 144,738.97/x
  3. Step 3: Cross multiply
    213,789.97x = 295,010.06 × 144,738.97
  4. Step 4: Simplify right side
    213,789.97x = 42,699,452,224.04
  5. Step 5: Solve for x
    x = 42,699,452,224.04/213,789.97
  6. Step 6: Final answer
    x = 199,726.17

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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.