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Finding the Fourth Proportional to 264,803.68, 397,231.44 and 87,238.24

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Solution

The fourth proportional to 264,803.68, 397,231.44 and 87,238.24 is: 130,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,803.68 : 397,231.44 = 87,238.24 : x
  2. Step 2: Convert to fraction form
    264,803.68/397,231.44 = 87,238.24/x
  3. Step 3: Cross multiply
    264,803.68x = 397,231.44 × 87,238.24
  4. Step 4: Simplify right side
    264,803.68x = 34,653,771,698.27
  5. Step 5: Solve for x
    x = 34,653,771,698.27/264,803.68
  6. Step 6: Final answer
    x = 130,865.90

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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.