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Finding the Fourth Proportional to 203,947.88, 305,703.11 and 98,534.48

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Solution

The fourth proportional to 203,947.88, 305,703.11 and 98,534.48 is: 147,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947.88 : 305,703.11 = 98,534.48 : x
  2. Step 2: Convert to fraction form
    203,947.88/305,703.11 = 98,534.48/x
  3. Step 3: Cross multiply
    203,947.88x = 305,703.11 × 98,534.48
  4. Step 4: Simplify right side
    203,947.88x = 30,122,295,696.05
  5. Step 5: Solve for x
    x = 30,122,295,696.05/203,947.88
  6. Step 6: Final answer
    x = 147,696.05

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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.