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Finding the Fourth Proportional to 208,056.63, 312,085.02 and 50,285.09

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Solution

The fourth proportional to 208,056.63, 312,085.02 and 50,285.09 is: 75,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,056.63 : 312,085.02 = 50,285.09 : x
  2. Step 2: Convert to fraction form
    208,056.63/312,085.02 = 50,285.09/x
  3. Step 3: Cross multiply
    208,056.63x = 312,085.02 × 50,285.09
  4. Step 4: Simplify right side
    208,056.63x = 15,693,221,757.93
  5. Step 5: Solve for x
    x = 15,693,221,757.93/208,056.63
  6. Step 6: Final answer
    x = 75,427.65

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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.