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Finding the Fourth Proportional to 176,504.64, 264,608.10 and 76,589.70

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Solution

The fourth proportional to 176,504.64, 264,608.10 and 76,589.70 is: 114,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,504.64 : 264,608.10 = 76,589.70 : x
  2. Step 2: Convert to fraction form
    176,504.64/264,608.10 = 76,589.70/x
  3. Step 3: Cross multiply
    176,504.64x = 264,608.10 × 76,589.70
  4. Step 4: Simplify right side
    176,504.64x = 20,266,254,996.57
  5. Step 5: Solve for x
    x = 20,266,254,996.57/176,504.64
  6. Step 6: Final answer
    x = 114,819.96

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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.