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Finding the Fourth Proportional to 102,834.60, 154,264.22 and 36,260.96

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Solution

The fourth proportional to 102,834.60, 154,264.22 and 36,260.96 is: 54,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,834.60 : 154,264.22 = 36,260.96 : x
  2. Step 2: Convert to fraction form
    102,834.60/154,264.22 = 36,260.96/x
  3. Step 3: Cross multiply
    102,834.60x = 154,264.22 × 36,260.96
  4. Step 4: Simplify right side
    102,834.60x = 5,593,768,710.85
  5. Step 5: Solve for x
    x = 5,593,768,710.85/102,834.60
  6. Step 6: Final answer
    x = 54,395.78

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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.