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Finding the Fourth Proportional to 137,101.26, 189,202.30 and 76,678.58

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Solution

The fourth proportional to 137,101.26, 189,202.30 and 76,678.58 is: 105,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,101.26 : 189,202.30 = 76,678.58 : x
  2. Step 2: Convert to fraction form
    137,101.26/189,202.30 = 76,678.58/x
  3. Step 3: Cross multiply
    137,101.26x = 189,202.30 × 76,678.58
  4. Step 4: Simplify right side
    137,101.26x = 14,507,763,696.73
  5. Step 5: Solve for x
    x = 14,507,763,696.73/137,101.26
  6. Step 6: Final answer
    x = 105,817.87

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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.