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Finding the Fourth Proportional to 301,090.86, 451,505.07 and 101,357.64

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Solution

The fourth proportional to 301,090.86, 451,505.07 and 101,357.64 is: 151,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,090.86 : 451,505.07 = 101,357.64 : x
  2. Step 2: Convert to fraction form
    301,090.86/451,505.07 = 101,357.64/x
  3. Step 3: Cross multiply
    301,090.86x = 451,505.07 × 101,357.64
  4. Step 4: Simplify right side
    301,090.86x = 45,763,488,343.23
  5. Step 5: Solve for x
    x = 45,763,488,343.23/301,090.86
  6. Step 6: Final answer
    x = 151,992.29

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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.