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Finding the Fourth Proportional to 133,634.10, 200,259.30 and 80,347.84

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Solution

The fourth proportional to 133,634.10, 200,259.30 and 80,347.84 is: 120,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,634.10 : 200,259.30 = 80,347.84 : x
  2. Step 2: Convert to fraction form
    133,634.10/200,259.30 = 80,347.84/x
  3. Step 3: Cross multiply
    133,634.10x = 200,259.30 × 80,347.84
  4. Step 4: Simplify right side
    133,634.10x = 16,090,402,194.91
  5. Step 5: Solve for x
    x = 16,090,402,194.91/133,634.10
  6. Step 6: Final answer
    x = 120,406.41

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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.