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Finding the Fourth Proportional to 119,158.96, 178,738.28 and 30,412.46

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Solution

The fourth proportional to 119,158.96, 178,738.28 and 30,412.46 is: 45,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158.96 : 178,738.28 = 30,412.46 : x
  2. Step 2: Convert to fraction form
    119,158.96/178,738.28 = 30,412.46/x
  3. Step 3: Cross multiply
    119,158.96x = 178,738.28 × 30,412.46
  4. Step 4: Simplify right side
    119,158.96x = 5,435,870,790.97
  5. Step 5: Solve for x
    x = 5,435,870,790.97/119,158.96
  6. Step 6: Final answer
    x = 45,618.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.