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Finding the Fourth Proportional to 209,096.64, 313,644.96 and 75,952.08

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Solution

The fourth proportional to 209,096.64, 313,644.96 and 75,952.08 is: 113,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,096.64 : 313,644.96 = 75,952.08 : x
  2. Step 2: Convert to fraction form
    209,096.64/313,644.96 = 75,952.08/x
  3. Step 3: Cross multiply
    209,096.64x = 313,644.96 × 75,952.08
  4. Step 4: Simplify right side
    209,096.64x = 23,821,987,093.52
  5. Step 5: Solve for x
    x = 23,821,987,093.52/209,096.64
  6. Step 6: Final answer
    x = 113,928.12

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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.