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Finding the Fourth Proportional to 252,063.40, 347,872.01 and 188,290.48

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Solution

The fourth proportional to 252,063.40, 347,872.01 and 188,290.48 is: 259,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,063.40 : 347,872.01 = 188,290.48 : x
  2. Step 2: Convert to fraction form
    252,063.40/347,872.01 = 188,290.48/x
  3. Step 3: Cross multiply
    252,063.40x = 347,872.01 × 188,290.48
  4. Step 4: Simplify right side
    252,063.40x = 65,500,986,800.01
  5. Step 5: Solve for x
    x = 65,500,986,800.01/252,063.40
  6. Step 6: Final answer
    x = 259,859.17

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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.