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Finding the Fourth Proportional to 378,751.14, 568,214.19 and 112,505.76

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Solution

The fourth proportional to 378,751.14, 568,214.19 and 112,505.76 is: 168,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,751.14 : 568,214.19 = 112,505.76 : x
  2. Step 2: Convert to fraction form
    378,751.14/568,214.19 = 112,505.76/x
  3. Step 3: Cross multiply
    378,751.14x = 568,214.19 × 112,505.76
  4. Step 4: Simplify right side
    378,751.14x = 63,927,369,288.73
  5. Step 5: Solve for x
    x = 63,927,369,288.73/378,751.14
  6. Step 6: Final answer
    x = 168,784.63

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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.