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Finding the Fourth Proportional to 206,099.40, 309,141 and 72,974.28

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Solution

The fourth proportional to 206,099.40, 309,141 and 72,974.28 is: 109,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,099.40 : 309,141 = 72,974.28 : x
  2. Step 2: Convert to fraction form
    206,099.40/309,141 = 72,974.28/x
  3. Step 3: Cross multiply
    206,099.40x = 309,141 × 72,974.28
  4. Step 4: Simplify right side
    206,099.40x = 22,559,341,893.48
  5. Step 5: Solve for x
    x = 22,559,341,893.48/206,099.40
  6. Step 6: Final answer
    x = 109,458.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.