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Finding the Fourth Proportional to 182,866.50, 252,406.50 and 106,400.37

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Solution

The fourth proportional to 182,866.50, 252,406.50 and 106,400.37 is: 146,862.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,866.50 : 252,406.50 = 106,400.37 : x
  2. Step 2: Convert to fraction form
    182,866.50/252,406.50 = 106,400.37/x
  3. Step 3: Cross multiply
    182,866.50x = 252,406.50 × 106,400.37
  4. Step 4: Simplify right side
    182,866.50x = 26,856,144,990.41
  5. Step 5: Solve for x
    x = 26,856,144,990.41/182,866.50
  6. Step 6: Final answer
    x = 146,862.03

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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.