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Finding the Fourth Proportional to 176,002.70, 263,485.65 and 165,749.90

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Solution

The fourth proportional to 176,002.70, 263,485.65 and 165,749.90 is: 248,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,002.70 : 263,485.65 = 165,749.90 : x
  2. Step 2: Convert to fraction form
    176,002.70/263,485.65 = 165,749.90/x
  3. Step 3: Cross multiply
    176,002.70x = 263,485.65 × 165,749.90
  4. Step 4: Simplify right side
    176,002.70x = 43,672,720,138.94
  5. Step 5: Solve for x
    x = 43,672,720,138.94/176,002.70
  6. Step 6: Final answer
    x = 248,136.65

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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.