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Finding the Fourth Proportional to 170,453, 255,716.41 and 65,271.97

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Solution

The fourth proportional to 170,453, 255,716.41 and 65,271.97 is: 97,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,453 : 255,716.41 = 65,271.97 : x
  2. Step 2: Convert to fraction form
    170,453/255,716.41 = 65,271.97/x
  3. Step 3: Cross multiply
    170,453x = 255,716.41 × 65,271.97
  4. Step 4: Simplify right side
    170,453x = 16,691,113,842.03
  5. Step 5: Solve for x
    x = 16,691,113,842.03/170,453
  6. Step 6: Final answer
    x = 97,922.09

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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.