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Finding the Fourth Proportional to 102,754.50, 154,131.75 and 28,882.50

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Solution

The fourth proportional to 102,754.50, 154,131.75 and 28,882.50 is: 43,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,754.50 : 154,131.75 = 28,882.50 : x
  2. Step 2: Convert to fraction form
    102,754.50/154,131.75 = 28,882.50/x
  3. Step 3: Cross multiply
    102,754.50x = 154,131.75 × 28,882.50
  4. Step 4: Simplify right side
    102,754.50x = 4,451,710,269.38
  5. Step 5: Solve for x
    x = 4,451,710,269.38/102,754.50
  6. Step 6: Final answer
    x = 43,323.75

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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.