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Finding the Fourth Proportional to 165,694.70, 228,667.92 and 97,751.54

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Solution

The fourth proportional to 165,694.70, 228,667.92 and 97,751.54 is: 134,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,694.70 : 228,667.92 = 97,751.54 : x
  2. Step 2: Convert to fraction form
    165,694.70/228,667.92 = 97,751.54/x
  3. Step 3: Cross multiply
    165,694.70x = 228,667.92 × 97,751.54
  4. Step 4: Simplify right side
    165,694.70x = 22,352,641,328.60
  5. Step 5: Solve for x
    x = 22,352,641,328.60/165,694.70
  6. Step 6: Final answer
    x = 134,902.57

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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.