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Finding the Fourth Proportional to 262,164.56, 393,247.12 and 65,172.56

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Solution

The fourth proportional to 262,164.56, 393,247.12 and 65,172.56 is: 97,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,164.56 : 393,247.12 = 65,172.56 : x
  2. Step 2: Convert to fraction form
    262,164.56/393,247.12 = 65,172.56/x
  3. Step 3: Cross multiply
    262,164.56x = 393,247.12 × 65,172.56
  4. Step 4: Simplify right side
    262,164.56x = 25,628,921,523.03
  5. Step 5: Solve for x
    x = 25,628,921,523.03/262,164.56
  6. Step 6: Final answer
    x = 97,758.91

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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.