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Finding the Fourth Proportional to 306,150.42, 459,230.31 and 116,621.31

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Solution

The fourth proportional to 306,150.42, 459,230.31 and 116,621.31 is: 174,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,150.42 : 459,230.31 = 116,621.31 : x
  2. Step 2: Convert to fraction form
    306,150.42/459,230.31 = 116,621.31/x
  3. Step 3: Cross multiply
    306,150.42x = 459,230.31 × 116,621.31
  4. Step 4: Simplify right side
    306,150.42x = 53,556,040,343.91
  5. Step 5: Solve for x
    x = 53,556,040,343.91/306,150.42
  6. Step 6: Final answer
    x = 174,933.75

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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.