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Finding the Fourth Proportional to 119,414.10, 164,787.30 and 65,698.56

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Solution

The fourth proportional to 119,414.10, 164,787.30 and 65,698.56 is: 90,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,414.10 : 164,787.30 = 65,698.56 : x
  2. Step 2: Convert to fraction form
    119,414.10/164,787.30 = 65,698.56/x
  3. Step 3: Cross multiply
    119,414.10x = 164,787.30 × 65,698.56
  4. Step 4: Simplify right side
    119,414.10x = 10,826,288,316.29
  5. Step 5: Solve for x
    x = 10,826,288,316.29/119,414.10
  6. Step 6: Final answer
    x = 90,661.73

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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.