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Finding the Fourth Proportional to 165,640.50, 228,569.49 and 94,023.54

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Solution

The fourth proportional to 165,640.50, 228,569.49 and 94,023.54 is: 129,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,640.50 : 228,569.49 = 94,023.54 : x
  2. Step 2: Convert to fraction form
    165,640.50/228,569.49 = 94,023.54/x
  3. Step 3: Cross multiply
    165,640.50x = 228,569.49 × 94,023.54
  4. Step 4: Simplify right side
    165,640.50x = 21,490,912,585.79
  5. Step 5: Solve for x
    x = 21,490,912,585.79/165,640.50
  6. Step 6: Final answer
    x = 129,744.31

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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.