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Finding the Fourth Proportional to 208,907.39, 288,295.67 and 113,414.06

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Solution

The fourth proportional to 208,907.39, 288,295.67 and 113,414.06 is: 156,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,907.39 : 288,295.67 = 113,414.06 : x
  2. Step 2: Convert to fraction form
    208,907.39/288,295.67 = 113,414.06/x
  3. Step 3: Cross multiply
    208,907.39x = 288,295.67 × 113,414.06
  4. Step 4: Simplify right side
    208,907.39x = 32,696,783,419.39
  5. Step 5: Solve for x
    x = 32,696,783,419.39/208,907.39
  6. Step 6: Final answer
    x = 156,513.29

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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.