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Finding the Fourth Proportional to 176,535.72, 264,819.90 and 50,178.60

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Solution

The fourth proportional to 176,535.72, 264,819.90 and 50,178.60 is: 75,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,535.72 : 264,819.90 = 50,178.60 : x
  2. Step 2: Convert to fraction form
    176,535.72/264,819.90 = 50,178.60/x
  3. Step 3: Cross multiply
    176,535.72x = 264,819.90 × 50,178.60
  4. Step 4: Simplify right side
    176,535.72x = 13,288,291,834.14
  5. Step 5: Solve for x
    x = 13,288,291,834.14/176,535.72
  6. Step 6: Final answer
    x = 75,272.54

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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.