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Finding the Fourth Proportional to 137,138.06, 189,268.02 and 76,712.06

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Solution

The fourth proportional to 137,138.06, 189,268.02 and 76,712.06 is: 105,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138.06 : 189,268.02 = 76,712.06 : x
  2. Step 2: Convert to fraction form
    137,138.06/189,268.02 = 76,712.06/x
  3. Step 3: Cross multiply
    137,138.06x = 189,268.02 × 76,712.06
  4. Step 4: Simplify right side
    137,138.06x = 14,519,139,706.32
  5. Step 5: Solve for x
    x = 14,519,139,706.32/137,138.06
  6. Step 6: Final answer
    x = 105,872.43

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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.