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Finding the Fourth Proportional to 137,195.91, 205,787.68 and 57,200.92

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Solution

The fourth proportional to 137,195.91, 205,787.68 and 57,200.92 is: 85,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,195.91 : 205,787.68 = 57,200.92 : x
  2. Step 2: Convert to fraction form
    137,195.91/205,787.68 = 57,200.92/x
  3. Step 3: Cross multiply
    137,195.91x = 205,787.68 × 57,200.92
  4. Step 4: Simplify right side
    137,195.91x = 11,771,244,620.67
  5. Step 5: Solve for x
    x = 11,771,244,620.67/137,195.91
  6. Step 6: Final answer
    x = 85,798.80

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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.