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Finding the Fourth Proportional to 199,635.57, 299,467.98 and 57,475.08

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Solution

The fourth proportional to 199,635.57, 299,467.98 and 57,475.08 is: 86,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,635.57 : 299,467.98 = 57,475.08 : x
  2. Step 2: Convert to fraction form
    199,635.57/299,467.98 = 57,475.08/x
  3. Step 3: Cross multiply
    199,635.57x = 299,467.98 × 57,475.08
  4. Step 4: Simplify right side
    199,635.57x = 17,211,946,107.94
  5. Step 5: Solve for x
    x = 17,211,946,107.94/199,635.57
  6. Step 6: Final answer
    x = 86,216.83

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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.