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Finding the Fourth Proportional to 216,786.38, 299,165.20 and 121,311.52

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Solution

The fourth proportional to 216,786.38, 299,165.20 and 121,311.52 is: 167,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,786.38 : 299,165.20 = 121,311.52 : x
  2. Step 2: Convert to fraction form
    216,786.38/299,165.20 = 121,311.52/x
  3. Step 3: Cross multiply
    216,786.38x = 299,165.20 × 121,311.52
  4. Step 4: Simplify right side
    216,786.38x = 36,292,185,774.72
  5. Step 5: Solve for x
    x = 36,292,185,774.72/216,786.38
  6. Step 6: Final answer
    x = 167,409.90

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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.