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Finding the Fourth Proportional to 136,674.20, 205,097.70 and 80,514.20

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Solution

The fourth proportional to 136,674.20, 205,097.70 and 80,514.20 is: 120,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,674.20 : 205,097.70 = 80,514.20 : x
  2. Step 2: Convert to fraction form
    136,674.20/205,097.70 = 80,514.20/x
  3. Step 3: Cross multiply
    136,674.20x = 205,097.70 × 80,514.20
  4. Step 4: Simplify right side
    136,674.20x = 16,513,277,237.34
  5. Step 5: Solve for x
    x = 16,513,277,237.34/136,674.20
  6. Step 6: Final answer
    x = 120,822.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.