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Finding the Fourth Proportional to 217,924.32, 300,757.44 and 146,453.28

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Solution

The fourth proportional to 217,924.32, 300,757.44 and 146,453.28 is: 202,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,924.32 : 300,757.44 = 146,453.28 : x
  2. Step 2: Convert to fraction form
    217,924.32/300,757.44 = 146,453.28/x
  3. Step 3: Cross multiply
    217,924.32x = 300,757.44 × 146,453.28
  4. Step 4: Simplify right side
    217,924.32x = 44,046,913,572.40
  5. Step 5: Solve for x
    x = 44,046,913,572.40/217,924.32
  6. Step 6: Final answer
    x = 202,120.23

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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.