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Finding the Fourth Proportional to 137,597.07, 206,414.73 and 48,829.46

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Solution

The fourth proportional to 137,597.07, 206,414.73 and 48,829.46 is: 73,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,597.07 : 206,414.73 = 48,829.46 : x
  2. Step 2: Convert to fraction form
    137,597.07/206,414.73 = 48,829.46/x
  3. Step 3: Cross multiply
    137,597.07x = 206,414.73 × 48,829.46
  4. Step 4: Simplify right side
    137,597.07x = 10,079,120,317.98
  5. Step 5: Solve for x
    x = 10,079,120,317.98/137,597.07
  6. Step 6: Final answer
    x = 73,250.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.