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Finding the Fourth Proportional to 176,546.72, 264,836.40 and 50,189.60

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Solution

The fourth proportional to 176,546.72, 264,836.40 and 50,189.60 is: 75,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,546.72 : 264,836.40 = 50,189.60 : x
  2. Step 2: Convert to fraction form
    176,546.72/264,836.40 = 50,189.60/x
  3. Step 3: Cross multiply
    176,546.72x = 264,836.40 × 50,189.60
  4. Step 4: Simplify right side
    176,546.72x = 13,292,032,981.44
  5. Step 5: Solve for x
    x = 13,292,032,981.44/176,546.72
  6. Step 6: Final answer
    x = 75,289.04

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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.