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Finding the Fourth Proportional to 301,530.11, 416,132.82 and 199,378.07

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Solution

The fourth proportional to 301,530.11, 416,132.82 and 199,378.07 is: 275,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,530.11 : 416,132.82 = 199,378.07 : x
  2. Step 2: Convert to fraction form
    301,530.11/416,132.82 = 199,378.07/x
  3. Step 3: Cross multiply
    301,530.11x = 416,132.82 × 199,378.07
  4. Step 4: Simplify right side
    301,530.11x = 82,967,759,555.59
  5. Step 5: Solve for x
    x = 82,967,759,555.59/301,530.11
  6. Step 6: Final answer
    x = 275,155.80

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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.