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Finding the Fourth Proportional to 133,852.55, 200,678.97 and 80,532.04

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Solution

The fourth proportional to 133,852.55, 200,678.97 and 80,532.04 is: 120,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.55 : 200,678.97 = 80,532.04 : x
  2. Step 2: Convert to fraction form
    133,852.55/200,678.97 = 80,532.04/x
  3. Step 3: Cross multiply
    133,852.55x = 200,678.97 × 80,532.04
  4. Step 4: Simplify right side
    133,852.55x = 16,161,086,839.20
  5. Step 5: Solve for x
    x = 16,161,086,839.20/133,852.55
  6. Step 6: Final answer
    x = 120,737.98

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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.