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Finding the Fourth Proportional to 137,264.68, 189,416.48 and 76,825.16

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Solution

The fourth proportional to 137,264.68, 189,416.48 and 76,825.16 is: 106,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,264.68 : 189,416.48 = 76,825.16 : x
  2. Step 2: Convert to fraction form
    137,264.68/189,416.48 = 76,825.16/x
  3. Step 3: Cross multiply
    137,264.68x = 189,416.48 × 76,825.16
  4. Step 4: Simplify right side
    137,264.68x = 14,551,951,382.64
  5. Step 5: Solve for x
    x = 14,551,951,382.64/137,264.68
  6. Step 6: Final answer
    x = 106,013.81

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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.