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Finding the Fourth Proportional to 254,370.75, 381,563.42 and 67,382.25

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Solution

The fourth proportional to 254,370.75, 381,563.42 and 67,382.25 is: 101,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,370.75 : 381,563.42 = 67,382.25 : x
  2. Step 2: Convert to fraction form
    254,370.75/381,563.42 = 67,382.25/x
  3. Step 3: Cross multiply
    254,370.75x = 381,563.42 × 67,382.25
  4. Step 4: Simplify right side
    254,370.75x = 25,710,601,420.38
  5. Step 5: Solve for x
    x = 25,710,601,420.38/254,370.75
  6. Step 6: Final answer
    x = 101,075.31

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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.