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Finding the Fourth Proportional to 188,093.40, 259,568.84 and 107,522.64

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Solution

The fourth proportional to 188,093.40, 259,568.84 and 107,522.64 is: 148,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,093.40 : 259,568.84 = 107,522.64 : x
  2. Step 2: Convert to fraction form
    188,093.40/259,568.84 = 107,522.64/x
  3. Step 3: Cross multiply
    188,093.40x = 259,568.84 × 107,522.64
  4. Step 4: Simplify right side
    188,093.40x = 27,909,526,938.54
  5. Step 5: Solve for x
    x = 27,909,526,938.54/188,093.40
  6. Step 6: Final answer
    x = 148,381.21

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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.