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Finding the Fourth Proportional to 201,344.40, 301,757.40 and 154,364.40

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Solution

The fourth proportional to 201,344.40, 301,757.40 and 154,364.40 is: 231,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,344.40 : 301,757.40 = 154,364.40 : x
  2. Step 2: Convert to fraction form
    201,344.40/301,757.40 = 154,364.40/x
  3. Step 3: Cross multiply
    201,344.40x = 301,757.40 × 154,364.40
  4. Step 4: Simplify right side
    201,344.40x = 46,580,599,996.56
  5. Step 5: Solve for x
    x = 46,580,599,996.56/201,344.40
  6. Step 6: Final answer
    x = 231,347.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.