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Finding the Fourth Proportional to 137,194.60, 205,791.90 and 48,447.40

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Solution

The fourth proportional to 137,194.60, 205,791.90 and 48,447.40 is: 72,671.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,194.60 : 205,791.90 = 48,447.40 : x
  2. Step 2: Convert to fraction form
    137,194.60/205,791.90 = 48,447.40/x
  3. Step 3: Cross multiply
    137,194.60x = 205,791.90 × 48,447.40
  4. Step 4: Simplify right side
    137,194.60x = 9,970,082,496.06
  5. Step 5: Solve for x
    x = 9,970,082,496.06/137,194.60
  6. Step 6: Final answer
    x = 72,671.10

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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.