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Finding the Fourth Proportional to 193,381, 266,865.86 and 117,945.16

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Solution

The fourth proportional to 193,381, 266,865.86 and 117,945.16 is: 162,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,381 : 266,865.86 = 117,945.16 : x
  2. Step 2: Convert to fraction form
    193,381/266,865.86 = 117,945.16/x
  3. Step 3: Cross multiply
    193,381x = 266,865.86 × 117,945.16
  4. Step 4: Simplify right side
    193,381x = 31,475,536,556.24
  5. Step 5: Solve for x
    x = 31,475,536,556.24/193,381
  6. Step 6: Final answer
    x = 162,764.37

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1.5x scale

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.