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Finding the Fourth Proportional to 150,830.82, 208,148.24 and 82,849.38

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Solution

The fourth proportional to 150,830.82, 208,148.24 and 82,849.38 is: 114,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,830.82 : 208,148.24 = 82,849.38 : x
  2. Step 2: Convert to fraction form
    150,830.82/208,148.24 = 82,849.38/x
  3. Step 3: Cross multiply
    150,830.82x = 208,148.24 × 82,849.38
  4. Step 4: Simplify right side
    150,830.82x = 17,244,952,632.09
  5. Step 5: Solve for x
    x = 17,244,952,632.09/150,830.82
  6. Step 6: Final answer
    x = 114,333.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.