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Finding the Fourth Proportional to 224,259.36, 309,511.20 and 147,766.56

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Solution

The fourth proportional to 224,259.36, 309,511.20 and 147,766.56 is: 203,939.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,259.36 : 309,511.20 = 147,766.56 : x
  2. Step 2: Convert to fraction form
    224,259.36/309,511.20 = 147,766.56/x
  3. Step 3: Cross multiply
    224,259.36x = 309,511.20 × 147,766.56
  4. Step 4: Simplify right side
    224,259.36x = 45,735,405,305.47
  5. Step 5: Solve for x
    x = 45,735,405,305.47/224,259.36
  6. Step 6: Final answer
    x = 203,939.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.