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Finding the Fourth Proportional to 165,505.96, 228,184.74 and 120,249.64

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Solution

The fourth proportional to 165,505.96, 228,184.74 and 120,249.64 is: 165,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,505.96 : 228,184.74 = 120,249.64 : x
  2. Step 2: Convert to fraction form
    165,505.96/228,184.74 = 120,249.64/x
  3. Step 3: Cross multiply
    165,505.96x = 228,184.74 × 120,249.64
  4. Step 4: Simplify right side
    165,505.96x = 27,439,132,838.49
  5. Step 5: Solve for x
    x = 27,439,132,838.49/165,505.96
  6. Step 6: Final answer
    x = 165,789.39

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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.