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Finding the Fourth Proportional to 301,186.56, 451,177.31 and 181,177.32

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Solution

The fourth proportional to 301,186.56, 451,177.31 and 181,177.32 is: 271,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,186.56 : 451,177.31 = 181,177.32 : x
  2. Step 2: Convert to fraction form
    301,186.56/451,177.31 = 181,177.32/x
  3. Step 3: Cross multiply
    301,186.56x = 451,177.31 × 181,177.32
  4. Step 4: Simplify right side
    301,186.56x = 81,743,094,964.72
  5. Step 5: Solve for x
    x = 81,743,094,964.72/301,186.56
  6. Step 6: Final answer
    x = 271,403.53

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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.