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Finding the Fourth Proportional to 197,465.88, 295,509.78 and 161,511.60

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Solution

The fourth proportional to 197,465.88, 295,509.78 and 161,511.60 is: 241,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,465.88 : 295,509.78 = 161,511.60 : x
  2. Step 2: Convert to fraction form
    197,465.88/295,509.78 = 161,511.60/x
  3. Step 3: Cross multiply
    197,465.88x = 295,509.78 × 161,511.60
  4. Step 4: Simplify right side
    197,465.88x = 47,728,257,383.45
  5. Step 5: Solve for x
    x = 47,728,257,383.45/197,465.88
  6. Step 6: Final answer
    x = 241,703.82

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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.