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Finding the Fourth Proportional to 118,993.50, 178,544.70 and 51,546.15

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Solution

The fourth proportional to 118,993.50, 178,544.70 and 51,546.15 is: 77,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,993.50 : 178,544.70 = 51,546.15 : x
  2. Step 2: Convert to fraction form
    118,993.50/178,544.70 = 51,546.15/x
  3. Step 3: Cross multiply
    118,993.50x = 178,544.70 × 51,546.15
  4. Step 4: Simplify right side
    118,993.50x = 9,203,291,887.91
  5. Step 5: Solve for x
    x = 9,203,291,887.91/118,993.50
  6. Step 6: Final answer
    x = 77,342.81

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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.