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Finding the Fourth Proportional to 262,168, 393,253.44 and 65,176

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Solution

The fourth proportional to 262,168, 393,253.44 and 65,176 is: 97,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,168 : 393,253.44 = 65,176 : x
  2. Step 2: Convert to fraction form
    262,168/393,253.44 = 65,176/x
  3. Step 3: Cross multiply
    262,168x = 393,253.44 × 65,176
  4. Step 4: Simplify right side
    262,168x = 25,630,686,205.44
  5. Step 5: Solve for x
    x = 25,630,686,205.44/262,168
  6. Step 6: Final answer
    x = 97,764.36

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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.