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Finding the Fourth Proportional to 176,356.28, 264,257.94 and 149,952.44

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Solution

The fourth proportional to 176,356.28, 264,257.94 and 149,952.44 is: 224,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,356.28 : 264,257.94 = 149,952.44 : x
  2. Step 2: Convert to fraction form
    176,356.28/264,257.94 = 149,952.44/x
  3. Step 3: Cross multiply
    176,356.28x = 264,257.94 × 149,952.44
  4. Step 4: Simplify right side
    176,356.28x = 39,626,122,892.37
  5. Step 5: Solve for x
    x = 39,626,122,892.37/176,356.28
  6. Step 6: Final answer
    x = 224,693.57

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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.