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Finding the Fourth Proportional to 263,787.74, 364,025.85 and 142,929.03

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Solution

The fourth proportional to 263,787.74, 364,025.85 and 142,929.03 is: 197,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,787.74 : 364,025.85 = 142,929.03 : x
  2. Step 2: Convert to fraction form
    263,787.74/364,025.85 = 142,929.03/x
  3. Step 3: Cross multiply
    263,787.74x = 364,025.85 × 142,929.03
  4. Step 4: Simplify right side
    263,787.74x = 52,029,861,440.72
  5. Step 5: Solve for x
    x = 52,029,861,440.72/263,787.74
  6. Step 6: Final answer
    x = 197,241.39

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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.