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Finding the Fourth Proportional to 197,995.29, 296,992.78 and 71,605.93

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Solution

The fourth proportional to 197,995.29, 296,992.78 and 71,605.93 is: 107,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,995.29 : 296,992.78 = 71,605.93 : x
  2. Step 2: Convert to fraction form
    197,995.29/296,992.78 = 71,605.93/x
  3. Step 3: Cross multiply
    197,995.29x = 296,992.78 × 71,605.93
  4. Step 4: Simplify right side
    197,995.29x = 21,266,443,857.16
  5. Step 5: Solve for x
    x = 21,266,443,857.16/197,995.29
  6. Step 6: Final answer
    x = 107,408.84

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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.