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Finding the Fourth Proportional to 76,421.80, 114,438.30 and 72,922.60

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Solution

The fourth proportional to 76,421.80, 114,438.30 and 72,922.60 is: 109,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,421.80 : 114,438.30 = 72,922.60 : x
  2. Step 2: Convert to fraction form
    76,421.80/114,438.30 = 72,922.60/x
  3. Step 3: Cross multiply
    76,421.80x = 114,438.30 × 72,922.60
  4. Step 4: Simplify right side
    76,421.80x = 8,345,138,375.58
  5. Step 5: Solve for x
    x = 8,345,138,375.58/76,421.80
  6. Step 6: Final answer
    x = 109,198.40

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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.