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Finding the Fourth Proportional to 197,468.88, 295,514.28 and 161,514.60

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Solution

The fourth proportional to 197,468.88, 295,514.28 and 161,514.60 is: 241,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,468.88 : 295,514.28 = 161,514.60 : x
  2. Step 2: Convert to fraction form
    197,468.88/295,514.28 = 161,514.60/x
  3. Step 3: Cross multiply
    197,468.88x = 295,514.28 × 161,514.60
  4. Step 4: Simplify right side
    197,468.88x = 47,729,870,728.49
  5. Step 5: Solve for x
    x = 47,729,870,728.49/197,468.88
  6. Step 6: Final answer
    x = 241,708.32

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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.