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Finding the Fourth Proportional to 165,546.98, 228,455.85 and 90,096.26

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Solution

The fourth proportional to 165,546.98, 228,455.85 and 90,096.26 is: 124,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,546.98 : 228,455.85 = 90,096.26 : x
  2. Step 2: Convert to fraction form
    165,546.98/228,455.85 = 90,096.26/x
  3. Step 3: Cross multiply
    165,546.98x = 228,455.85 × 90,096.26
  4. Step 4: Simplify right side
    165,546.98x = 20,583,017,660.12
  5. Step 5: Solve for x
    x = 20,583,017,660.12/165,546.98
  6. Step 6: Final answer
    x = 124,333.39

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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.