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Finding the Fourth Proportional to 129,097.64, 193,597.74 and 50,201.96

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Solution

The fourth proportional to 129,097.64, 193,597.74 and 50,201.96 is: 75,283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,097.64 : 193,597.74 = 50,201.96 : x
  2. Step 2: Convert to fraction form
    129,097.64/193,597.74 = 50,201.96/x
  3. Step 3: Cross multiply
    129,097.64x = 193,597.74 × 50,201.96
  4. Step 4: Simplify right side
    129,097.64x = 9,718,985,999.57
  5. Step 5: Solve for x
    x = 9,718,985,999.57/129,097.64
  6. Step 6: Final answer
    x = 75,283.99

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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.