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Finding the Fourth Proportional to 273,787.84, 410,714.52 and 105,268.96

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Solution

The fourth proportional to 273,787.84, 410,714.52 and 105,268.96 is: 157,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,787.84 : 410,714.52 = 105,268.96 : x
  2. Step 2: Convert to fraction form
    273,787.84/410,714.52 = 105,268.96/x
  3. Step 3: Cross multiply
    273,787.84x = 410,714.52 × 105,268.96
  4. Step 4: Simplify right side
    273,787.84x = 43,235,490,377.30
  5. Step 5: Solve for x
    x = 43,235,490,377.30/273,787.84
  6. Step 6: Final answer
    x = 157,916.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.