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Finding the Fourth Proportional to 137,051.60, 205,447.80 and 80,934.80

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Solution

The fourth proportional to 137,051.60, 205,447.80 and 80,934.80 is: 121,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,051.60 : 205,447.80 = 80,934.80 : x
  2. Step 2: Convert to fraction form
    137,051.60/205,447.80 = 80,934.80/x
  3. Step 3: Cross multiply
    137,051.60x = 205,447.80 × 80,934.80
  4. Step 4: Simplify right side
    137,051.60x = 16,627,876,603.44
  5. Step 5: Solve for x
    x = 16,627,876,603.44/137,051.60
  6. Step 6: Final answer
    x = 121,325.67

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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.