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Finding the Fourth Proportional to 219,974.76, 303,565.16 and 119,372.76

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Solution

The fourth proportional to 219,974.76, 303,565.16 and 119,372.76 is: 164,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,974.76 : 303,565.16 = 119,372.76 : x
  2. Step 2: Convert to fraction form
    219,974.76/303,565.16 = 119,372.76/x
  3. Step 3: Cross multiply
    219,974.76x = 303,565.16 × 119,372.76
  4. Step 4: Simplify right side
    219,974.76x = 36,237,410,989.04
  5. Step 5: Solve for x
    x = 36,237,410,989.04/219,974.76
  6. Step 6: Final answer
    x = 164,734.40

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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.