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Finding the Fourth Proportional to 120,514.44, 166,309.68 and 72,758.40

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Solution

The fourth proportional to 120,514.44, 166,309.68 and 72,758.40 is: 100,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,514.44 : 166,309.68 = 72,758.40 : x
  2. Step 2: Convert to fraction form
    120,514.44/166,309.68 = 72,758.40/x
  3. Step 3: Cross multiply
    120,514.44x = 166,309.68 × 72,758.40
  4. Step 4: Simplify right side
    120,514.44x = 12,100,426,221.31
  5. Step 5: Solve for x
    x = 12,100,426,221.31/120,514.44
  6. Step 6: Final answer
    x = 100,406.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.