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Finding the Fourth Proportional to 209,913.88, 289,517.34 and 134,469.40

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Solution

The fourth proportional to 209,913.88, 289,517.34 and 134,469.40 is: 185,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,913.88 : 289,517.34 = 134,469.40 : x
  2. Step 2: Convert to fraction form
    209,913.88/289,517.34 = 134,469.40/x
  3. Step 3: Cross multiply
    209,913.88x = 289,517.34 × 134,469.40
  4. Step 4: Simplify right side
    209,913.88x = 38,931,222,999.40
  5. Step 5: Solve for x
    x = 38,931,222,999.40/209,913.88
  6. Step 6: Final answer
    x = 185,462.83

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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.