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Finding the Fourth Proportional to 253,316.26, 379,974.09 and 120,123.86

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Solution

The fourth proportional to 253,316.26, 379,974.09 and 120,123.86 is: 180,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,316.26 : 379,974.09 = 120,123.86 : x
  2. Step 2: Convert to fraction form
    253,316.26/379,974.09 = 120,123.86/x
  3. Step 3: Cross multiply
    253,316.26x = 379,974.09 × 120,123.86
  4. Step 4: Simplify right side
    253,316.26x = 45,643,954,403.04
  5. Step 5: Solve for x
    x = 45,643,954,403.04/253,316.26
  6. Step 6: Final answer
    x = 180,185.65

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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.