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Finding the Fourth Proportional to 259,797.24, 389,710.98 and 72,823.32

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Solution

The fourth proportional to 259,797.24, 389,710.98 and 72,823.32 is: 109,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,797.24 : 389,710.98 = 72,823.32 : x
  2. Step 2: Convert to fraction form
    259,797.24/389,710.98 = 72,823.32/x
  3. Step 3: Cross multiply
    259,797.24x = 389,710.98 × 72,823.32
  4. Step 4: Simplify right side
    259,797.24x = 28,380,047,404.05
  5. Step 5: Solve for x
    x = 28,380,047,404.05/259,797.24
  6. Step 6: Final answer
    x = 109,239.22

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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.