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Finding the Fourth Proportional to 176,446.32, 264,520.68 and 76,531.26

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Solution

The fourth proportional to 176,446.32, 264,520.68 and 76,531.26 is: 114,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,446.32 : 264,520.68 = 76,531.26 : x
  2. Step 2: Convert to fraction form
    176,446.32/264,520.68 = 76,531.26/x
  3. Step 3: Cross multiply
    176,446.32x = 264,520.68 × 76,531.26
  4. Step 4: Simplify right side
    176,446.32x = 20,244,100,936.46
  5. Step 5: Solve for x
    x = 20,244,100,936.46/176,446.32
  6. Step 6: Final answer
    x = 114,732.35

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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.