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Finding the Fourth Proportional to 262,841.59, 394,295.19 and 102,896.86

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Solution

The fourth proportional to 262,841.59, 394,295.19 and 102,896.86 is: 154,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,841.59 : 394,295.19 = 102,896.86 : x
  2. Step 2: Convert to fraction form
    262,841.59/394,295.19 = 102,896.86/x
  3. Step 3: Cross multiply
    262,841.59x = 394,295.19 × 102,896.86
  4. Step 4: Simplify right side
    262,841.59x = 40,571,736,964.10
  5. Step 5: Solve for x
    x = 40,571,736,964.10/262,841.59
  6. Step 6: Final answer
    x = 154,358.13

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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.