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Finding the Fourth Proportional to 176,355.28, 264,256.44 and 149,951.44

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Solution

The fourth proportional to 176,355.28, 264,256.44 and 149,951.44 is: 224,692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,355.28 : 264,256.44 = 149,951.44 : x
  2. Step 2: Convert to fraction form
    176,355.28/264,256.44 = 149,951.44/x
  3. Step 3: Cross multiply
    176,355.28x = 264,256.44 × 149,951.44
  4. Step 4: Simplify right side
    176,355.28x = 39,625,633,707.27
  5. Step 5: Solve for x
    x = 39,625,633,707.27/176,355.28
  6. Step 6: Final answer
    x = 224,692.07

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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.