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Finding the Fourth Proportional to 260,183.24, 390,406.08 and 102,524.84

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Solution

The fourth proportional to 260,183.24, 390,406.08 and 102,524.84 is: 153,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,183.24 : 390,406.08 = 102,524.84 : x
  2. Step 2: Convert to fraction form
    260,183.24/390,406.08 = 102,524.84/x
  3. Step 3: Cross multiply
    260,183.24x = 390,406.08 × 102,524.84
  4. Step 4: Simplify right side
    260,183.24x = 40,026,320,887.03
  5. Step 5: Solve for x
    x = 40,026,320,887.03/260,183.24
  6. Step 6: Final answer
    x = 153,838.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.