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Finding the Fourth Proportional to 240,431.93, 360,680.70 and 100,157.75

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Solution

The fourth proportional to 240,431.93, 360,680.70 and 100,157.75 is: 150,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,431.93 : 360,680.70 = 100,157.75 : x
  2. Step 2: Convert to fraction form
    240,431.93/360,680.70 = 100,157.75/x
  3. Step 3: Cross multiply
    240,431.93x = 360,680.70 × 100,157.75
  4. Step 4: Simplify right side
    240,431.93x = 36,124,967,380.43
  5. Step 5: Solve for x
    x = 36,124,967,380.43/240,431.93
  6. Step 6: Final answer
    x = 150,250.29

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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.