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Finding the Fourth Proportional to 208,313.34, 312,486.21 and 68,086.14

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Solution

The fourth proportional to 208,313.34, 312,486.21 and 68,086.14 is: 102,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,313.34 : 312,486.21 = 68,086.14 : x
  2. Step 2: Convert to fraction form
    208,313.34/312,486.21 = 68,086.14/x
  3. Step 3: Cross multiply
    208,313.34x = 312,486.21 × 68,086.14
  4. Step 4: Simplify right side
    208,313.34x = 21,275,979,842.13
  5. Step 5: Solve for x
    x = 21,275,979,842.13/208,313.34
  6. Step 6: Final answer
    x = 102,134.50

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Why These Related Problems?

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