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Finding the Fourth Proportional to 251,687.40, 377,589.48 and 83,197.50

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Solution

The fourth proportional to 251,687.40, 377,589.48 and 83,197.50 is: 124,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,687.40 : 377,589.48 = 83,197.50 : x
  2. Step 2: Convert to fraction form
    251,687.40/377,589.48 = 83,197.50/x
  3. Step 3: Cross multiply
    251,687.40x = 377,589.48 × 83,197.50
  4. Step 4: Simplify right side
    251,687.40x = 31,414,500,762.30
  5. Step 5: Solve for x
    x = 31,414,500,762.30/251,687.40
  6. Step 6: Final answer
    x = 124,815.55

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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.