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Finding the Fourth Proportional to 201,062.88, 301,604.70 and 51,304.48

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Solution

The fourth proportional to 201,062.88, 301,604.70 and 51,304.48 is: 76,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,062.88 : 301,604.70 = 51,304.48 : x
  2. Step 2: Convert to fraction form
    201,062.88/301,604.70 = 51,304.48/x
  3. Step 3: Cross multiply
    201,062.88x = 301,604.70 × 51,304.48
  4. Step 4: Simplify right side
    201,062.88x = 15,473,672,299.06
  5. Step 5: Solve for x
    x = 15,473,672,299.06/201,062.88
  6. Step 6: Final answer
    x = 76,959.37

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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.