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Finding the Fourth Proportional to 194,990.24, 292,427.24 and 82,668.66

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Solution

The fourth proportional to 194,990.24, 292,427.24 and 82,668.66 is: 123,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,990.24 : 292,427.24 = 82,668.66 : x
  2. Step 2: Convert to fraction form
    194,990.24/292,427.24 = 82,668.66/x
  3. Step 3: Cross multiply
    194,990.24x = 292,427.24 × 82,668.66
  4. Step 4: Simplify right side
    194,990.24x = 24,174,566,616.16
  5. Step 5: Solve for x
    x = 24,174,566,616.16/194,990.24
  6. Step 6: Final answer
    x = 123,978.34

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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.