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Finding the Fourth Proportional to 133,034.60, 199,292.70 and 80,287.40

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Solution

The fourth proportional to 133,034.60, 199,292.70 and 80,287.40 is: 120,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,034.60 : 199,292.70 = 80,287.40 : x
  2. Step 2: Convert to fraction form
    133,034.60/199,292.70 = 80,287.40/x
  3. Step 3: Cross multiply
    133,034.60x = 199,292.70 × 80,287.40
  4. Step 4: Simplify right side
    133,034.60x = 16,000,692,721.98
  5. Step 5: Solve for x
    x = 16,000,692,721.98/133,034.60
  6. Step 6: Final answer
    x = 120,274.67

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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.