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Finding the Fourth Proportional to 137,099.82, 189,154.71 and 76,662.30

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Solution

The fourth proportional to 137,099.82, 189,154.71 and 76,662.30 is: 105,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,099.82 : 189,154.71 = 76,662.30 : x
  2. Step 2: Convert to fraction form
    137,099.82/189,154.71 = 76,662.30/x
  3. Step 3: Cross multiply
    137,099.82x = 189,154.71 × 76,662.30
  4. Step 4: Simplify right side
    137,099.82x = 14,501,035,124.43
  5. Step 5: Solve for x
    x = 14,501,035,124.43/137,099.82
  6. Step 6: Final answer
    x = 105,769.91

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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.