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Finding the Fourth Proportional to 217,228.14, 299,776.32 and 120,434.96

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Solution

The fourth proportional to 217,228.14, 299,776.32 and 120,434.96 is: 166,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,228.14 : 299,776.32 = 120,434.96 : x
  2. Step 2: Convert to fraction form
    217,228.14/299,776.32 = 120,434.96/x
  3. Step 3: Cross multiply
    217,228.14x = 299,776.32 × 120,434.96
  4. Step 4: Simplify right side
    217,228.14x = 36,103,547,609.27
  5. Step 5: Solve for x
    x = 36,103,547,609.27/217,228.14
  6. Step 6: Final answer
    x = 166,201.06

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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.