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Finding the Fourth Proportional to 102,803.80, 154,082.31 and 52,907.44

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Solution

The fourth proportional to 102,803.80, 154,082.31 and 52,907.44 is: 79,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,803.80 : 154,082.31 = 52,907.44 : x
  2. Step 2: Convert to fraction form
    102,803.80/154,082.31 = 52,907.44/x
  3. Step 3: Cross multiply
    102,803.80x = 154,082.31 × 52,907.44
  4. Step 4: Simplify right side
    102,803.80x = 8,152,100,571.39
  5. Step 5: Solve for x
    x = 8,152,100,571.39/102,803.80
  6. Step 6: Final answer
    x = 79,297.66

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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.