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Finding the Fourth Proportional to 188,230.94, 259,758.90 and 111,765.31

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Solution

The fourth proportional to 188,230.94, 259,758.90 and 111,765.31 is: 154,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,230.94 : 259,758.90 = 111,765.31 : x
  2. Step 2: Convert to fraction form
    188,230.94/259,758.90 = 111,765.31/x
  3. Step 3: Cross multiply
    188,230.94x = 259,758.90 × 111,765.31
  4. Step 4: Simplify right side
    188,230.94x = 29,032,032,915.24
  5. Step 5: Solve for x
    x = 29,032,032,915.24/188,230.94
  6. Step 6: Final answer
    x = 154,236.24

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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.