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Finding the Fourth Proportional to 216,311.20, 298,507.70 and 119,514.75

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Solution

The fourth proportional to 216,311.20, 298,507.70 and 119,514.75 is: 164,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,311.20 : 298,507.70 = 119,514.75 : x
  2. Step 2: Convert to fraction form
    216,311.20/298,507.70 = 119,514.75/x
  3. Step 3: Cross multiply
    216,311.20x = 298,507.70 × 119,514.75
  4. Step 4: Simplify right side
    216,311.20x = 35,676,073,138.58
  5. Step 5: Solve for x
    x = 35,676,073,138.58/216,311.20
  6. Step 6: Final answer
    x = 164,929.38

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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.