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Finding the Fourth Proportional to 137,161.20, 189,299.88 and 76,735.20

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Solution

The fourth proportional to 137,161.20, 189,299.88 and 76,735.20 is: 105,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,161.20 : 189,299.88 = 76,735.20 : x
  2. Step 2: Convert to fraction form
    137,161.20/189,299.88 = 76,735.20/x
  3. Step 3: Cross multiply
    137,161.20x = 189,299.88 × 76,735.20
  4. Step 4: Simplify right side
    137,161.20x = 14,525,964,151.78
  5. Step 5: Solve for x
    x = 14,525,964,151.78/137,161.20
  6. Step 6: Final answer
    x = 105,904.32

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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.