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Finding the Fourth Proportional to 208,202.19, 287,318.96 and 112,708.80

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Solution

The fourth proportional to 208,202.19, 287,318.96 and 112,708.80 is: 155,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.19 : 287,318.96 = 112,708.80 : x
  2. Step 2: Convert to fraction form
    208,202.19/287,318.96 = 112,708.80/x
  3. Step 3: Cross multiply
    208,202.19x = 287,318.96 × 112,708.80
  4. Step 4: Simplify right side
    208,202.19x = 32,383,375,198.85
  5. Step 5: Solve for x
    x = 32,383,375,198.85/208,202.19
  6. Step 6: Final answer
    x = 155,538.11

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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.