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Finding the Fourth Proportional to 204,836.30, 307,254.45 and 163,364.30

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Solution

The fourth proportional to 204,836.30, 307,254.45 and 163,364.30 is: 245,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,836.30 : 307,254.45 = 163,364.30 : x
  2. Step 2: Convert to fraction form
    204,836.30/307,254.45 = 163,364.30/x
  3. Step 3: Cross multiply
    204,836.30x = 307,254.45 × 163,364.30
  4. Step 4: Simplify right side
    204,836.30x = 50,194,408,146.14
  5. Step 5: Solve for x
    x = 50,194,408,146.14/204,836.30
  6. Step 6: Final answer
    x = 245,046.45

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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.