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Finding the Fourth Proportional to 231,954.80, 320,092.19 and 136,467.63

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Solution

The fourth proportional to 231,954.80, 320,092.19 and 136,467.63 is: 188,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,954.80 : 320,092.19 = 136,467.63 : x
  2. Step 2: Convert to fraction form
    231,954.80/320,092.19 = 136,467.63/x
  3. Step 3: Cross multiply
    231,954.80x = 320,092.19 × 136,467.63
  4. Step 4: Simplify right side
    231,954.80x = 43,682,221,868.47
  5. Step 5: Solve for x
    x = 43,682,221,868.47/231,954.80
  6. Step 6: Final answer
    x = 188,322.13

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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.