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Finding the Fourth Proportional to 106,091.93, 146,408.31 and 60,769.88

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Solution

The fourth proportional to 106,091.93, 146,408.31 and 60,769.88 is: 83,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,091.93 : 146,408.31 = 60,769.88 : x
  2. Step 2: Convert to fraction form
    106,091.93/146,408.31 = 60,769.88/x
  3. Step 3: Cross multiply
    106,091.93x = 146,408.31 × 60,769.88
  4. Step 4: Simplify right side
    106,091.93x = 8,897,215,429.70
  5. Step 5: Solve for x
    x = 8,897,215,429.70/106,091.93
  6. Step 6: Final answer
    x = 83,863.26

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1.5x scale

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.