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Finding the Fourth Proportional to 165,452.96, 228,404.40 and 101,845.28

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Solution

The fourth proportional to 165,452.96, 228,404.40 and 101,845.28 is: 140,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,452.96 : 228,404.40 = 101,845.28 : x
  2. Step 2: Convert to fraction form
    165,452.96/228,404.40 = 101,845.28/x
  3. Step 3: Cross multiply
    165,452.96x = 228,404.40 × 101,845.28
  4. Step 4: Simplify right side
    165,452.96x = 23,261,910,071.23
  5. Step 5: Solve for x
    x = 23,261,910,071.23/165,452.96
  6. Step 6: Final answer
    x = 140,595.31

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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.