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Finding the Fourth Proportional to 102,906.60, 154,359.90 and 96,685.80

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Solution

The fourth proportional to 102,906.60, 154,359.90 and 96,685.80 is: 145,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.60 : 154,359.90 = 96,685.80 : x
  2. Step 2: Convert to fraction form
    102,906.60/154,359.90 = 96,685.80/x
  3. Step 3: Cross multiply
    102,906.60x = 154,359.90 × 96,685.80
  4. Step 4: Simplify right side
    102,906.60x = 14,924,410,419.42
  5. Step 5: Solve for x
    x = 14,924,410,419.42/102,906.60
  6. Step 6: Final answer
    x = 145,028.70

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Why These Related Problems?

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