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Finding the Fourth Proportional to 215,819.40, 297,816.84 and 120,320.40

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Solution

The fourth proportional to 215,819.40, 297,816.84 and 120,320.40 is: 166,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,819.40 : 297,816.84 = 120,320.40 : x
  2. Step 2: Convert to fraction form
    215,819.40/297,816.84 = 120,320.40/x
  3. Step 3: Cross multiply
    215,819.40x = 297,816.84 × 120,320.40
  4. Step 4: Simplify right side
    215,819.40x = 35,833,441,315.54
  5. Step 5: Solve for x
    x = 35,833,441,315.54/215,819.40
  6. Step 6: Final answer
    x = 166,034.38

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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.