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Finding the Fourth Proportional to 193,266, 266,736.24 and 117,858.24

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Solution

The fourth proportional to 193,266, 266,736.24 and 117,858.24 is: 162,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,266 : 266,736.24 = 117,858.24 : x
  2. Step 2: Convert to fraction form
    193,266/266,736.24 = 117,858.24/x
  3. Step 3: Cross multiply
    193,266x = 266,736.24 × 117,858.24
  4. Step 4: Simplify right side
    193,266x = 31,437,063,790.62
  5. Step 5: Solve for x
    x = 31,437,063,790.62/193,266
  6. Step 6: Final answer
    x = 162,662.15

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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.