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Finding the Fourth Proportional to 176,743.44, 265,107.78 and 120,442.86

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Solution

The fourth proportional to 176,743.44, 265,107.78 and 120,442.86 is: 180,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,743.44 : 265,107.78 = 120,442.86 : x
  2. Step 2: Convert to fraction form
    176,743.44/265,107.78 = 120,442.86/x
  3. Step 3: Cross multiply
    176,743.44x = 265,107.78 × 120,442.86
  4. Step 4: Simplify right side
    176,743.44x = 31,930,339,231.45
  5. Step 5: Solve for x
    x = 31,930,339,231.45/176,743.44
  6. Step 6: Final answer
    x = 180,659.26

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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.