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Finding the Fourth Proportional to 204,835.30, 307,252.95 and 163,363.30

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Solution

The fourth proportional to 204,835.30, 307,252.95 and 163,363.30 is: 245,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,835.30 : 307,252.95 = 163,363.30 : x
  2. Step 2: Convert to fraction form
    204,835.30/307,252.95 = 163,363.30/x
  3. Step 3: Cross multiply
    204,835.30x = 307,252.95 × 163,363.30
  4. Step 4: Simplify right side
    204,835.30x = 50,193,855,846.74
  5. Step 5: Solve for x
    x = 50,193,855,846.74/204,835.30
  6. Step 6: Final answer
    x = 245,044.95

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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.