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Finding the Fourth Proportional to 300,370, 450,205.08 and 167,186.56

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Solution

The fourth proportional to 300,370, 450,205.08 and 167,186.56 is: 250,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,370 : 450,205.08 = 167,186.56 : x
  2. Step 2: Convert to fraction form
    300,370/450,205.08 = 167,186.56/x
  3. Step 3: Cross multiply
    300,370x = 450,205.08 × 167,186.56
  4. Step 4: Simplify right side
    300,370x = 75,268,238,619.72
  5. Step 5: Solve for x
    x = 75,268,238,619.72/300,370
  6. Step 6: Final answer
    x = 250,585.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.