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Finding the Fourth Proportional to 280,331.96, 386,908.26 and 167,162

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Solution

The fourth proportional to 280,331.96, 386,908.26 and 167,162 is: 230,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,331.96 : 386,908.26 = 167,162 : x
  2. Step 2: Convert to fraction form
    280,331.96/386,908.26 = 167,162/x
  3. Step 3: Cross multiply
    280,331.96x = 386,908.26 × 167,162
  4. Step 4: Simplify right side
    280,331.96x = 64,676,358,558.12
  5. Step 5: Solve for x
    x = 64,676,358,558.12/280,331.96
  6. Step 6: Final answer
    x = 230,713.47

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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.