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Finding the Fourth Proportional to 378,059.85, 567,200.49 and 111,827.45

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Solution

The fourth proportional to 378,059.85, 567,200.49 and 111,827.45 is: 167,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,059.85 : 567,200.49 = 111,827.45 : x
  2. Step 2: Convert to fraction form
    378,059.85/567,200.49 = 111,827.45/x
  3. Step 3: Cross multiply
    378,059.85x = 567,200.49 × 111,827.45
  4. Step 4: Simplify right side
    378,059.85x = 63,428,585,591.36
  5. Step 5: Solve for x
    x = 63,428,585,591.36/378,059.85
  6. Step 6: Final answer
    x = 167,773.93

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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.