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Finding the Fourth Proportional to 182,662.50, 273,884.40 and 75,917.82

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Solution

The fourth proportional to 182,662.50, 273,884.40 and 75,917.82 is: 113,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,662.50 : 273,884.40 = 75,917.82 : x
  2. Step 2: Convert to fraction form
    182,662.50/273,884.40 = 75,917.82/x
  3. Step 3: Cross multiply
    182,662.50x = 273,884.40 × 75,917.82
  4. Step 4: Simplify right side
    182,662.50x = 20,792,706,580.01
  5. Step 5: Solve for x
    x = 20,792,706,580.01/182,662.50
  6. Step 6: Final answer
    x = 113,831.28

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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.