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Finding the Fourth Proportional to 217,110.30, 299,621.76 and 120,313.88

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Solution

The fourth proportional to 217,110.30, 299,621.76 and 120,313.88 is: 166,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,110.30 : 299,621.76 = 120,313.88 : x
  2. Step 2: Convert to fraction form
    217,110.30/299,621.76 = 120,313.88/x
  3. Step 3: Cross multiply
    217,110.30x = 299,621.76 × 120,313.88
  4. Step 4: Simplify right side
    217,110.30x = 36,048,656,478.03
  5. Step 5: Solve for x
    x = 36,048,656,478.03/217,110.30
  6. Step 6: Final answer
    x = 166,038.44

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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.