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Finding the Fourth Proportional to 102,857.40, 154,286.10 and 63,286.20

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Solution

The fourth proportional to 102,857.40, 154,286.10 and 63,286.20 is: 94,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857.40 : 154,286.10 = 63,286.20 : x
  2. Step 2: Convert to fraction form
    102,857.40/154,286.10 = 63,286.20/x
  3. Step 3: Cross multiply
    102,857.40x = 154,286.10 × 63,286.20
  4. Step 4: Simplify right side
    102,857.40x = 9,764,180,981.82
  5. Step 5: Solve for x
    x = 9,764,180,981.82/102,857.40
  6. Step 6: Final answer
    x = 94,929.30

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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.