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Finding the Fourth Proportional to 137,344.44, 206,109 and 48,597.60

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Solution

The fourth proportional to 137,344.44, 206,109 and 48,597.60 is: 72,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,344.44 : 206,109 = 48,597.60 : x
  2. Step 2: Convert to fraction form
    137,344.44/206,109 = 48,597.60/x
  3. Step 3: Cross multiply
    137,344.44x = 206,109 × 48,597.60
  4. Step 4: Simplify right side
    137,344.44x = 10,016,402,738.40
  5. Step 5: Solve for x
    x = 10,016,402,738.40/137,344.44
  6. Step 6: Final answer
    x = 72,929.07

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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.