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Finding the Fourth Proportional to 217,434.24, 300,041.92 and 121,928

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Solution

The fourth proportional to 217,434.24, 300,041.92 and 121,928 is: 168,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,434.24 : 300,041.92 = 121,928 : x
  2. Step 2: Convert to fraction form
    217,434.24/300,041.92 = 121,928/x
  3. Step 3: Cross multiply
    217,434.24x = 300,041.92 × 121,928
  4. Step 4: Simplify right side
    217,434.24x = 36,583,511,221.76
  5. Step 5: Solve for x
    x = 36,583,511,221.76/217,434.24
  6. Step 6: Final answer
    x = 168,250.92

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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.