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Finding the Fourth Proportional to 213,839.69, 295,120.73 and 123,199.07

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Solution

The fourth proportional to 213,839.69, 295,120.73 and 123,199.07 is: 170,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,839.69 : 295,120.73 = 123,199.07 : x
  2. Step 2: Convert to fraction form
    213,839.69/295,120.73 = 123,199.07/x
  3. Step 3: Cross multiply
    213,839.69x = 295,120.73 × 123,199.07
  4. Step 4: Simplify right side
    213,839.69x = 36,358,598,306.12
  5. Step 5: Solve for x
    x = 36,358,598,306.12/213,839.69
  6. Step 6: Final answer
    x = 170,027.37

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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.