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Finding the Fourth Proportional to 291,683.72, 437,550.26 and 81,321.84

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Solution

The fourth proportional to 291,683.72, 437,550.26 and 81,321.84 is: 121,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,683.72 : 437,550.26 = 81,321.84 : x
  2. Step 2: Convert to fraction form
    291,683.72/437,550.26 = 81,321.84/x
  3. Step 3: Cross multiply
    291,683.72x = 437,550.26 × 81,321.84
  4. Step 4: Simplify right side
    291,683.72x = 35,582,392,235.68
  5. Step 5: Solve for x
    x = 35,582,392,235.68/291,683.72
  6. Step 6: Final answer
    x = 121,989.64

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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.