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Finding the Fourth Proportional to 119,400.44, 164,766.10 and 65,676.78

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Solution

The fourth proportional to 119,400.44, 164,766.10 and 65,676.78 is: 90,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,400.44 : 164,766.10 = 65,676.78 : x
  2. Step 2: Convert to fraction form
    119,400.44/164,766.10 = 65,676.78/x
  3. Step 3: Cross multiply
    119,400.44x = 164,766.10 × 65,676.78
  4. Step 4: Simplify right side
    119,400.44x = 10,821,306,572.77
  5. Step 5: Solve for x
    x = 10,821,306,572.77/119,400.44
  6. Step 6: Final answer
    x = 90,630.38

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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.