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Finding the Fourth Proportional to 208,202.40, 287,315.91 and 112,708.26

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Solution

The fourth proportional to 208,202.40, 287,315.91 and 112,708.26 is: 155,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.40 : 287,315.91 = 112,708.26 : x
  2. Step 2: Convert to fraction form
    208,202.40/287,315.91 = 112,708.26/x
  3. Step 3: Cross multiply
    208,202.40x = 287,315.91 × 112,708.26
  4. Step 4: Simplify right side
    208,202.40x = 32,382,876,286.42
  5. Step 5: Solve for x
    x = 32,382,876,286.42/208,202.40
  6. Step 6: Final answer
    x = 155,535.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.