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Finding the Fourth Proportional to 262,006.56, 393,053.58 and 82,103.94

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Solution

The fourth proportional to 262,006.56, 393,053.58 and 82,103.94 is: 123,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,006.56 : 393,053.58 = 82,103.94 : x
  2. Step 2: Convert to fraction form
    262,006.56/393,053.58 = 82,103.94/x
  3. Step 3: Cross multiply
    262,006.56x = 393,053.58 × 82,103.94
  4. Step 4: Simplify right side
    262,006.56x = 32,271,247,549.11
  5. Step 5: Solve for x
    x = 32,271,247,549.11/262,006.56
  6. Step 6: Final answer
    x = 123,169.62

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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.