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Finding the Fourth Proportional to 192,807.34, 266,021.82 and 117,302.38

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Solution

The fourth proportional to 192,807.34, 266,021.82 and 117,302.38 is: 161,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,807.34 : 266,021.82 = 117,302.38 : x
  2. Step 2: Convert to fraction form
    192,807.34/266,021.82 = 117,302.38/x
  3. Step 3: Cross multiply
    192,807.34x = 266,021.82 × 117,302.38
  4. Step 4: Simplify right side
    192,807.34x = 31,204,992,617.93
  5. Step 5: Solve for x
    x = 31,204,992,617.93/192,807.34
  6. Step 6: Final answer
    x = 161,845.46

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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.