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Finding the Fourth Proportional to 208,458.20, 287,674.08 and 122,394.80

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Solution

The fourth proportional to 208,458.20, 287,674.08 and 122,394.80 is: 168,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,458.20 : 287,674.08 = 122,394.80 : x
  2. Step 2: Convert to fraction form
    208,458.20/287,674.08 = 122,394.80/x
  3. Step 3: Cross multiply
    208,458.20x = 287,674.08 × 122,394.80
  4. Step 4: Simplify right side
    208,458.20x = 35,209,811,486.78
  5. Step 5: Solve for x
    x = 35,209,811,486.78/208,458.20
  6. Step 6: Final answer
    x = 168,905.86

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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.