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Finding the Fourth Proportional to 269,204.20, 403,806.30 and 185,223.40

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Solution

The fourth proportional to 269,204.20, 403,806.30 and 185,223.40 is: 277,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,204.20 : 403,806.30 = 185,223.40 : x
  2. Step 2: Convert to fraction form
    269,204.20/403,806.30 = 185,223.40/x
  3. Step 3: Cross multiply
    269,204.20x = 403,806.30 × 185,223.40
  4. Step 4: Simplify right side
    269,204.20x = 74,794,375,827.42
  5. Step 5: Solve for x
    x = 74,794,375,827.42/269,204.20
  6. Step 6: Final answer
    x = 277,835.10

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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.