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Finding the Fourth Proportional to 100,194.85, 149,996.89 and 74,016.46

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Solution

The fourth proportional to 100,194.85, 149,996.89 and 74,016.46 is: 110,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,194.85 : 149,996.89 = 74,016.46 : x
  2. Step 2: Convert to fraction form
    100,194.85/149,996.89 = 74,016.46/x
  3. Step 3: Cross multiply
    100,194.85x = 149,996.89 × 74,016.46
  4. Step 4: Simplify right side
    100,194.85x = 11,102,238,808.81
  5. Step 5: Solve for x
    x = 11,102,238,808.81/100,194.85
  6. Step 6: Final answer
    x = 110,806.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.