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Finding the Fourth Proportional to 219,676.78, 303,154.68 and 119,074.78

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Solution

The fourth proportional to 219,676.78, 303,154.68 and 119,074.78 is: 164,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,676.78 : 303,154.68 = 119,074.78 : x
  2. Step 2: Convert to fraction form
    219,676.78/303,154.68 = 119,074.78/x
  3. Step 3: Cross multiply
    219,676.78x = 303,154.68 × 119,074.78
  4. Step 4: Simplify right side
    219,676.78x = 36,098,076,826.97
  5. Step 5: Solve for x
    x = 36,098,076,826.97/219,676.78
  6. Step 6: Final answer
    x = 164,323.59

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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.