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Finding the Fourth Proportional to 277,675.31, 416,512.98 and 67,313.25

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Solution

The fourth proportional to 277,675.31, 416,512.98 and 67,313.25 is: 100,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,675.31 : 416,512.98 = 67,313.25 : x
  2. Step 2: Convert to fraction form
    277,675.31/416,512.98 = 67,313.25/x
  3. Step 3: Cross multiply
    277,675.31x = 416,512.98 × 67,313.25
  4. Step 4: Simplify right side
    277,675.31x = 28,036,842,350.99
  5. Step 5: Solve for x
    x = 28,036,842,350.99/277,675.31
  6. Step 6: Final answer
    x = 100,969.88

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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.