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Finding the Fourth Proportional to 102,874.25, 154,295.76 and 28,000.22

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Solution

The fourth proportional to 102,874.25, 154,295.76 and 28,000.22 is: 41,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,874.25 : 154,295.76 = 28,000.22 : x
  2. Step 2: Convert to fraction form
    102,874.25/154,295.76 = 28,000.22/x
  3. Step 3: Cross multiply
    102,874.25x = 154,295.76 × 28,000.22
  4. Step 4: Simplify right side
    102,874.25x = 4,320,314,453.59
  5. Step 5: Solve for x
    x = 4,320,314,453.59/102,874.25
  6. Step 6: Final answer
    x = 41,996.07

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1.5x scale

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.