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Finding the Fourth Proportional to 89,200.56, 123,107.40 and 51,474

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Solution

The fourth proportional to 89,200.56, 123,107.40 and 51,474 is: 71,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,200.56 : 123,107.40 = 51,474 : x
  2. Step 2: Convert to fraction form
    89,200.56/123,107.40 = 51,474/x
  3. Step 3: Cross multiply
    89,200.56x = 123,107.40 × 51,474
  4. Step 4: Simplify right side
    89,200.56x = 6,336,830,307.60
  5. Step 5: Solve for x
    x = 6,336,830,307.60/89,200.56
  6. Step 6: Final answer
    x = 71,040.25

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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.