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Finding the Fourth Proportional to 137,238.88, 205,688.76 and 81,022

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Solution

The fourth proportional to 137,238.88, 205,688.76 and 81,022 is: 121,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,238.88 : 205,688.76 = 81,022 : x
  2. Step 2: Convert to fraction form
    137,238.88/205,688.76 = 81,022/x
  3. Step 3: Cross multiply
    137,238.88x = 205,688.76 × 81,022
  4. Step 4: Simplify right side
    137,238.88x = 16,665,314,712.72
  5. Step 5: Solve for x
    x = 16,665,314,712.72/137,238.88
  6. Step 6: Final answer
    x = 121,432.90

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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.