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Finding the Fourth Proportional to 185,950.85, 278,815.41 and 73,647.19

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Solution

The fourth proportional to 185,950.85, 278,815.41 and 73,647.19 is: 110,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,950.85 : 278,815.41 = 73,647.19 : x
  2. Step 2: Convert to fraction form
    185,950.85/278,815.41 = 73,647.19/x
  3. Step 3: Cross multiply
    185,950.85x = 278,815.41 × 73,647.19
  4. Step 4: Simplify right side
    185,950.85x = 20,533,970,778.16
  5. Step 5: Solve for x
    x = 20,533,970,778.16/185,950.85
  6. Step 6: Final answer
    x = 110,426.87

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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.