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Finding the Fourth Proportional to 208,548.20, 312,822.30 and 182,304.20

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Solution

The fourth proportional to 208,548.20, 312,822.30 and 182,304.20 is: 273,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,548.20 : 312,822.30 = 182,304.20 : x
  2. Step 2: Convert to fraction form
    208,548.20/312,822.30 = 182,304.20/x
  3. Step 3: Cross multiply
    208,548.20x = 312,822.30 × 182,304.20
  4. Step 4: Simplify right side
    208,548.20x = 57,028,819,143.66
  5. Step 5: Solve for x
    x = 57,028,819,143.66/208,548.20
  6. Step 6: Final answer
    x = 273,456.30

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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.