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Finding the Fourth Proportional to 165,911.94, 228,958.72 and 90,460.44

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Solution

The fourth proportional to 165,911.94, 228,958.72 and 90,460.44 is: 124,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,911.94 : 228,958.72 = 90,460.44 : x
  2. Step 2: Convert to fraction form
    165,911.94/228,958.72 = 90,460.44/x
  3. Step 3: Cross multiply
    165,911.94x = 228,958.72 × 90,460.44
  4. Step 4: Simplify right side
    165,911.94x = 20,711,706,553.04
  5. Step 5: Solve for x
    x = 20,711,706,553.04/165,911.94
  6. Step 6: Final answer
    x = 124,835.54

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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.