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Finding the Fourth Proportional to 137,139.78, 189,268.60 and 76,725.73

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Solution

The fourth proportional to 137,139.78, 189,268.60 and 76,725.73 is: 105,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,139.78 : 189,268.60 = 76,725.73 : x
  2. Step 2: Convert to fraction form
    137,139.78/189,268.60 = 76,725.73/x
  3. Step 3: Cross multiply
    137,139.78x = 189,268.60 × 76,725.73
  4. Step 4: Simplify right side
    137,139.78x = 14,521,771,689.71
  5. Step 5: Solve for x
    x = 14,521,771,689.71/137,139.78
  6. Step 6: Final answer
    x = 105,890.29

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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.