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Finding the Fourth Proportional to 217,261.85, 299,852.26 and 120,487.23

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Solution

The fourth proportional to 217,261.85, 299,852.26 and 120,487.23 is: 166,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,261.85 : 299,852.26 = 120,487.23 : x
  2. Step 2: Convert to fraction form
    217,261.85/299,852.26 = 120,487.23/x
  3. Step 3: Cross multiply
    217,261.85x = 299,852.26 × 120,487.23
  4. Step 4: Simplify right side
    217,261.85x = 36,128,367,614.20
  5. Step 5: Solve for x
    x = 36,128,367,614.20/217,261.85
  6. Step 6: Final answer
    x = 166,289.51

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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.