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Finding the Fourth Proportional to 301,081.02, 451,621.74 and 76,458.30

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Solution

The fourth proportional to 301,081.02, 451,621.74 and 76,458.30 is: 114,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,081.02 : 451,621.74 = 76,458.30 : x
  2. Step 2: Convert to fraction form
    301,081.02/451,621.74 = 76,458.30/x
  3. Step 3: Cross multiply
    301,081.02x = 451,621.74 × 76,458.30
  4. Step 4: Simplify right side
    301,081.02x = 34,530,230,483.44
  5. Step 5: Solve for x
    x = 34,530,230,483.44/301,081.02
  6. Step 6: Final answer
    x = 114,687.50

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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.