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Finding the Fourth Proportional to 118,993.16, 178,506.44 and 34,759.50

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Solution

The fourth proportional to 118,993.16, 178,506.44 and 34,759.50 is: 52,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,993.16 : 178,506.44 = 34,759.50 : x
  2. Step 2: Convert to fraction form
    118,993.16/178,506.44 = 34,759.50/x
  3. Step 3: Cross multiply
    118,993.16x = 178,506.44 × 34,759.50
  4. Step 4: Simplify right side
    118,993.16x = 6,204,794,601.18
  5. Step 5: Solve for x
    x = 6,204,794,601.18/118,993.16
  6. Step 6: Final answer
    x = 52,144.13

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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.