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Finding the Fourth Proportional to 262,104, 393,158.72 and 65,112

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Solution

The fourth proportional to 262,104, 393,158.72 and 65,112 is: 97,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,104 : 393,158.72 = 65,112 : x
  2. Step 2: Convert to fraction form
    262,104/393,158.72 = 65,112/x
  3. Step 3: Cross multiply
    262,104x = 393,158.72 × 65,112
  4. Step 4: Simplify right side
    262,104x = 25,599,350,576.64
  5. Step 5: Solve for x
    x = 25,599,350,576.64/262,104
  6. Step 6: Final answer
    x = 97,668.68

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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.