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Finding the Fourth Proportional to 119,296.32, 178,949.92 and 84,392

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Solution

The fourth proportional to 119,296.32, 178,949.92 and 84,392 is: 126,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,296.32 : 178,949.92 = 84,392 : x
  2. Step 2: Convert to fraction form
    119,296.32/178,949.92 = 84,392/x
  3. Step 3: Cross multiply
    119,296.32x = 178,949.92 × 84,392
  4. Step 4: Simplify right side
    119,296.32x = 15,101,941,648.64
  5. Step 5: Solve for x
    x = 15,101,941,648.64/119,296.32
  6. Step 6: Final answer
    x = 126,591.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.