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Finding the Fourth Proportional to 102,753.41, 154,129.40 and 52,847.42

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Solution

The fourth proportional to 102,753.41, 154,129.40 and 52,847.42 is: 79,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,753.41 : 154,129.40 = 52,847.42 : x
  2. Step 2: Convert to fraction form
    102,753.41/154,129.40 = 52,847.42/x
  3. Step 3: Cross multiply
    102,753.41x = 154,129.40 × 52,847.42
  4. Step 4: Simplify right side
    102,753.41x = 8,145,340,871.91
  5. Step 5: Solve for x
    x = 8,145,340,871.91/102,753.41
  6. Step 6: Final answer
    x = 79,270.76

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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.