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Finding the Fourth Proportional to 137,119.28, 189,224.06 and 76,689.68

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Solution

The fourth proportional to 137,119.28, 189,224.06 and 76,689.68 is: 105,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,119.28 : 189,224.06 = 76,689.68 : x
  2. Step 2: Convert to fraction form
    137,119.28/189,224.06 = 76,689.68/x
  3. Step 3: Cross multiply
    137,119.28x = 189,224.06 × 76,689.68
  4. Step 4: Simplify right side
    137,119.28x = 14,511,532,609.70
  5. Step 5: Solve for x
    x = 14,511,532,609.70/137,119.28
  6. Step 6: Final answer
    x = 105,831.45

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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.