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Finding the Fourth Proportional to 135,406.49, 186,862.92 and 74,977.01

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Solution

The fourth proportional to 135,406.49, 186,862.92 and 74,977.01 is: 103,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,406.49 : 186,862.92 = 74,977.01 : x
  2. Step 2: Convert to fraction form
    135,406.49/186,862.92 = 74,977.01/x
  3. Step 3: Cross multiply
    135,406.49x = 186,862.92 × 74,977.01
  4. Step 4: Simplify right side
    135,406.49x = 14,010,422,506.73
  5. Step 5: Solve for x
    x = 14,010,422,506.73/135,406.49
  6. Step 6: Final answer
    x = 103,469.36

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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.