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Finding the Fourth Proportional to 255,173.96, 352,137.27 and 140,450.14

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Solution

The fourth proportional to 255,173.96, 352,137.27 and 140,450.14 is: 193,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,173.96 : 352,137.27 = 140,450.14 : x
  2. Step 2: Convert to fraction form
    255,173.96/352,137.27 = 140,450.14/x
  3. Step 3: Cross multiply
    255,173.96x = 352,137.27 × 140,450.14
  4. Step 4: Simplify right side
    255,173.96x = 49,457,729,342.38
  5. Step 5: Solve for x
    x = 49,457,729,342.38/255,173.96
  6. Step 6: Final answer
    x = 193,819.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.