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Finding the Fourth Proportional to 100,286.73, 150,430.23 and 41,111.73

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Solution

The fourth proportional to 100,286.73, 150,430.23 and 41,111.73 is: 61,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,286.73 : 150,430.23 = 41,111.73 : x
  2. Step 2: Convert to fraction form
    100,286.73/150,430.23 = 41,111.73/x
  3. Step 3: Cross multiply
    100,286.73x = 150,430.23 × 41,111.73
  4. Step 4: Simplify right side
    100,286.73x = 6,184,446,999.60
  5. Step 5: Solve for x
    x = 6,184,446,999.60/100,286.73
  6. Step 6: Final answer
    x = 61,667.65

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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.