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Finding the Fourth Proportional to 102,902.60, 154,353.90 and 36,344.90

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Solution

The fourth proportional to 102,902.60, 154,353.90 and 36,344.90 is: 54,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,902.60 : 154,353.90 = 36,344.90 : x
  2. Step 2: Convert to fraction form
    102,902.60/154,353.90 = 36,344.90/x
  3. Step 3: Cross multiply
    102,902.60x = 154,353.90 × 36,344.90
  4. Step 4: Simplify right side
    102,902.60x = 5,609,977,060.11
  5. Step 5: Solve for x
    x = 5,609,977,060.11/102,902.60
  6. Step 6: Final answer
    x = 54,517.35

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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.