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Finding the Fourth Proportional to 301,002.62, 451,550.66 and 101,307.42

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Solution

The fourth proportional to 301,002.62, 451,550.66 and 101,307.42 is: 151,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,002.62 : 451,550.66 = 101,307.42 : x
  2. Step 2: Convert to fraction form
    301,002.62/451,550.66 = 101,307.42/x
  3. Step 3: Cross multiply
    301,002.62x = 451,550.66 × 101,307.42
  4. Step 4: Simplify right side
    301,002.62x = 45,745,431,857.36
  5. Step 5: Solve for x
    x = 45,745,431,857.36/301,002.62
  6. Step 6: Final answer
    x = 151,976.86

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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.