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Finding the Fourth Proportional to 209,532, 313,797.73 and 120,598.56

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Solution

The fourth proportional to 209,532, 313,797.73 and 120,598.56 is: 180,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,532 : 313,797.73 = 120,598.56 : x
  2. Step 2: Convert to fraction form
    209,532/313,797.73 = 120,598.56/x
  3. Step 3: Cross multiply
    209,532x = 313,797.73 × 120,598.56
  4. Step 4: Simplify right side
    209,532x = 37,843,554,369.27
  5. Step 5: Solve for x
    x = 37,843,554,369.27/209,532
  6. Step 6: Final answer
    x = 180,609.90

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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.