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Finding the Fourth Proportional to 269,080.31, 371,314.13 and 148,214.84

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Solution

The fourth proportional to 269,080.31, 371,314.13 and 148,214.84 is: 204,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,080.31 : 371,314.13 = 148,214.84 : x
  2. Step 2: Convert to fraction form
    269,080.31/371,314.13 = 148,214.84/x
  3. Step 3: Cross multiply
    269,080.31x = 371,314.13 × 148,214.84
  4. Step 4: Simplify right side
    269,080.31x = 55,034,261,770.04
  5. Step 5: Solve for x
    x = 55,034,261,770.04/269,080.31
  6. Step 6: Final answer
    x = 204,527.27

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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.