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Finding the Fourth Proportional to 208,474.96, 287,694.72 and 112,984

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Solution

The fourth proportional to 208,474.96, 287,694.72 and 112,984 is: 155,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,474.96 : 287,694.72 = 112,984 : x
  2. Step 2: Convert to fraction form
    208,474.96/287,694.72 = 112,984/x
  3. Step 3: Cross multiply
    208,474.96x = 287,694.72 × 112,984
  4. Step 4: Simplify right side
    208,474.96x = 32,504,900,244.48
  5. Step 5: Solve for x
    x = 32,504,900,244.48/208,474.96
  6. Step 6: Final answer
    x = 155,917.53

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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.