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Finding the Fourth Proportional to 137,165.30, 189,292.14 and 76,734.54

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Solution

The fourth proportional to 137,165.30, 189,292.14 and 76,734.54 is: 105,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,165.30 : 189,292.14 = 76,734.54 : x
  2. Step 2: Convert to fraction form
    137,165.30/189,292.14 = 76,734.54/x
  3. Step 3: Cross multiply
    137,165.30x = 189,292.14 × 76,734.54
  4. Step 4: Simplify right side
    137,165.30x = 14,525,245,288.52
  5. Step 5: Solve for x
    x = 14,525,245,288.52/137,165.30
  6. Step 6: Final answer
    x = 105,895.92

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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.