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Finding the Fourth Proportional to 259,464.24, 358,060.44 and 140,232.24

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Solution

The fourth proportional to 259,464.24, 358,060.44 and 140,232.24 is: 193,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,464.24 : 358,060.44 = 140,232.24 : x
  2. Step 2: Convert to fraction form
    259,464.24/358,060.44 = 140,232.24/x
  3. Step 3: Cross multiply
    259,464.24x = 358,060.44 × 140,232.24
  4. Step 4: Simplify right side
    259,464.24x = 50,211,617,556.59
  5. Step 5: Solve for x
    x = 50,211,617,556.59/259,464.24
  6. Step 6: Final answer
    x = 193,520.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.