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Finding the Fourth Proportional to 140,491.44, 193,874.25 and 76,827.87

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Solution

The fourth proportional to 140,491.44, 193,874.25 and 76,827.87 is: 106,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,491.44 : 193,874.25 = 76,827.87 : x
  2. Step 2: Convert to fraction form
    140,491.44/193,874.25 = 76,827.87/x
  3. Step 3: Cross multiply
    140,491.44x = 193,874.25 × 76,827.87
  4. Step 4: Simplify right side
    140,491.44x = 14,894,944,877.98
  5. Step 5: Solve for x
    x = 14,894,944,877.98/140,491.44
  6. Step 6: Final answer
    x = 106,020.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.