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Finding the Fourth Proportional to 217,564.21, 300,233.86 and 120,762.38

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Solution

The fourth proportional to 217,564.21, 300,233.86 and 120,762.38 is: 166,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,564.21 : 300,233.86 = 120,762.38 : x
  2. Step 2: Convert to fraction form
    217,564.21/300,233.86 = 120,762.38/x
  3. Step 3: Cross multiply
    217,564.21x = 300,233.86 × 120,762.38
  4. Step 4: Simplify right side
    217,564.21x = 36,256,953,989.02
  5. Step 5: Solve for x
    x = 36,256,953,989.02/217,564.21
  6. Step 6: Final answer
    x = 166,649.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.