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Finding the Fourth Proportional to 367,065.30, 550,433.93 and 142,351.05

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Solution

The fourth proportional to 367,065.30, 550,433.93 and 142,351.05 is: 213,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,065.30 : 550,433.93 = 142,351.05 : x
  2. Step 2: Convert to fraction form
    367,065.30/550,433.93 = 142,351.05/x
  3. Step 3: Cross multiply
    367,065.30x = 550,433.93 × 142,351.05
  4. Step 4: Simplify right side
    367,065.30x = 78,354,847,179.37
  5. Step 5: Solve for x
    x = 78,354,847,179.37/367,065.30
  6. Step 6: Final answer
    x = 213,462.96

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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.