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Finding the Fourth Proportional to 203,447, 305,170.56 and 63,205.64

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Solution

The fourth proportional to 203,447, 305,170.56 and 63,205.64 is: 94,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,447 : 305,170.56 = 63,205.64 : x
  2. Step 2: Convert to fraction form
    203,447/305,170.56 = 63,205.64/x
  3. Step 3: Cross multiply
    203,447x = 305,170.56 × 63,205.64
  4. Step 4: Simplify right side
    203,447x = 19,288,500,553.96
  5. Step 5: Solve for x
    x = 19,288,500,553.96/203,447
  6. Step 6: Final answer
    x = 94,808.48

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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.