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Finding the Fourth Proportional to 137,023.29, 205,535.03 and 37,183.50

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Solution

The fourth proportional to 137,023.29, 205,535.03 and 37,183.50 is: 55,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,023.29 : 205,535.03 = 37,183.50 : x
  2. Step 2: Convert to fraction form
    137,023.29/205,535.03 = 37,183.50/x
  3. Step 3: Cross multiply
    137,023.29x = 205,535.03 × 37,183.50
  4. Step 4: Simplify right side
    137,023.29x = 7,642,511,602.09
  5. Step 5: Solve for x
    x = 7,642,511,602.09/137,023.29
  6. Step 6: Final answer
    x = 55,775.27

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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.