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Finding the Fourth Proportional to 138,180.77, 190,672.31 and 87,174.17

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Solution

The fourth proportional to 138,180.77, 190,672.31 and 87,174.17 is: 120,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,180.77 : 190,672.31 = 87,174.17 : x
  2. Step 2: Convert to fraction form
    138,180.77/190,672.31 = 87,174.17/x
  3. Step 3: Cross multiply
    138,180.77x = 190,672.31 × 87,174.17
  4. Step 4: Simplify right side
    138,180.77x = 16,621,699,630.81
  5. Step 5: Solve for x
    x = 16,621,699,630.81/138,180.77
  6. Step 6: Final answer
    x = 120,289.53

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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.