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Finding the Fourth Proportional to 182,274.60, 273,314.70 and 76,974.60

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Solution

The fourth proportional to 182,274.60, 273,314.70 and 76,974.60 is: 115,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,274.60 : 273,314.70 = 76,974.60 : x
  2. Step 2: Convert to fraction form
    182,274.60/273,314.70 = 76,974.60/x
  3. Step 3: Cross multiply
    182,274.60x = 273,314.70 × 76,974.60
  4. Step 4: Simplify right side
    182,274.60x = 21,038,289,706.62
  5. Step 5: Solve for x
    x = 21,038,289,706.62/182,274.60
  6. Step 6: Final answer
    x = 115,420.85

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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.