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Finding the Fourth Proportional to 182,328, 251,622.48 and 106,900.80

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Solution

The fourth proportional to 182,328, 251,622.48 and 106,900.80 is: 147,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,328 : 251,622.48 = 106,900.80 : x
  2. Step 2: Convert to fraction form
    182,328/251,622.48 = 106,900.80/x
  3. Step 3: Cross multiply
    182,328x = 251,622.48 × 106,900.80
  4. Step 4: Simplify right side
    182,328x = 26,898,644,409.98
  5. Step 5: Solve for x
    x = 26,898,644,409.98/182,328
  6. Step 6: Final answer
    x = 147,528.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.