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Finding the Fourth Proportional to 137,028.24, 188,973 and 89,264.16

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Solution

The fourth proportional to 137,028.24, 188,973 and 89,264.16 is: 123,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,028.24 : 188,973 = 89,264.16 : x
  2. Step 2: Convert to fraction form
    137,028.24/188,973 = 89,264.16/x
  3. Step 3: Cross multiply
    137,028.24x = 188,973 × 89,264.16
  4. Step 4: Simplify right side
    137,028.24x = 16,868,516,107.68
  5. Step 5: Solve for x
    x = 16,868,516,107.68/137,028.24
  6. Step 6: Final answer
    x = 123,102.48

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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.