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Finding the Fourth Proportional to 219,978.74, 303,568.89 and 119,376.74

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Solution

The fourth proportional to 219,978.74, 303,568.89 and 119,376.74 is: 164,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,978.74 : 303,568.89 = 119,376.74 : x
  2. Step 2: Convert to fraction form
    219,978.74/303,568.89 = 119,376.74/x
  3. Step 3: Cross multiply
    219,978.74x = 303,568.89 × 119,376.74
  4. Step 4: Simplify right side
    219,978.74x = 36,239,064,453.62
  5. Step 5: Solve for x
    x = 36,239,064,453.62/219,978.74
  6. Step 6: Final answer
    x = 164,738.94

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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.