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Finding the Fourth Proportional to 300,126.16, 414,187.37 and 172,842.76

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Solution

The fourth proportional to 300,126.16, 414,187.37 and 172,842.76 is: 238,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,126.16 : 414,187.37 = 172,842.76 : x
  2. Step 2: Convert to fraction form
    300,126.16/414,187.37 = 172,842.76/x
  3. Step 3: Cross multiply
    300,126.16x = 414,187.37 × 172,842.76
  4. Step 4: Simplify right side
    300,126.16x = 71,589,288,187.94
  5. Step 5: Solve for x
    x = 71,589,288,187.94/300,126.16
  6. Step 6: Final answer
    x = 238,530.65

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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.