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Finding the Fourth Proportional to 118,613.78, 177,986.36 and 48,542.30

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Solution

The fourth proportional to 118,613.78, 177,986.36 and 48,542.30 is: 72,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,613.78 : 177,986.36 = 48,542.30 : x
  2. Step 2: Convert to fraction form
    118,613.78/177,986.36 = 48,542.30/x
  3. Step 3: Cross multiply
    118,613.78x = 177,986.36 × 48,542.30
  4. Step 4: Simplify right side
    118,613.78x = 8,639,867,283.03
  5. Step 5: Solve for x
    x = 8,639,867,283.03/118,613.78
  6. Step 6: Final answer
    x = 72,840.33

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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.