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Finding the Fourth Proportional to 283,797.68, 425,409.06 and 184,021.16

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Solution

The fourth proportional to 283,797.68, 425,409.06 and 184,021.16 is: 275,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,797.68 : 425,409.06 = 184,021.16 : x
  2. Step 2: Convert to fraction form
    283,797.68/425,409.06 = 184,021.16/x
  3. Step 3: Cross multiply
    283,797.68x = 425,409.06 × 184,021.16
  4. Step 4: Simplify right side
    283,797.68x = 78,284,268,695.71
  5. Step 5: Solve for x
    x = 78,284,268,695.71/283,797.68
  6. Step 6: Final answer
    x = 275,845.34

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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.