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Finding the Fourth Proportional to 189,408.24, 261,477.99 and 117,811.26

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Solution

The fourth proportional to 189,408.24, 261,477.99 and 117,811.26 is: 162,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,408.24 : 261,477.99 = 117,811.26 : x
  2. Step 2: Convert to fraction form
    189,408.24/261,477.99 = 117,811.26/x
  3. Step 3: Cross multiply
    189,408.24x = 261,477.99 × 117,811.26
  4. Step 4: Simplify right side
    189,408.24x = 30,805,051,464.17
  5. Step 5: Solve for x
    x = 30,805,051,464.17/189,408.24
  6. Step 6: Final answer
    x = 162,638.39

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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.