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Finding the Fourth Proportional to 267,263.10, 400,894.38 and 109,491.84

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Solution

The fourth proportional to 267,263.10, 400,894.38 and 109,491.84 is: 164,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,263.10 : 400,894.38 = 109,491.84 : x
  2. Step 2: Convert to fraction form
    267,263.10/400,894.38 = 109,491.84/x
  3. Step 3: Cross multiply
    267,263.10x = 400,894.38 × 109,491.84
  4. Step 4: Simplify right side
    267,263.10x = 43,894,663,311.86
  5. Step 5: Solve for x
    x = 43,894,663,311.86/267,263.10
  6. Step 6: Final answer
    x = 164,237.65

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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.