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Finding the Fourth Proportional to 234,992.64, 324,295.74 and 127,562.70

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Solution

The fourth proportional to 234,992.64, 324,295.74 and 127,562.70 is: 176,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,992.64 : 324,295.74 = 127,562.70 : x
  2. Step 2: Convert to fraction form
    234,992.64/324,295.74 = 127,562.70/x
  3. Step 3: Cross multiply
    234,992.64x = 324,295.74 × 127,562.70
  4. Step 4: Simplify right side
    234,992.64x = 41,368,040,192.90
  5. Step 5: Solve for x
    x = 41,368,040,192.90/234,992.64
  6. Step 6: Final answer
    x = 176,039.73

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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.