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Finding the Fourth Proportional to 102,965.40, 154,448.10 and 82,229.40

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Solution

The fourth proportional to 102,965.40, 154,448.10 and 82,229.40 is: 123,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,965.40 : 154,448.10 = 82,229.40 : x
  2. Step 2: Convert to fraction form
    102,965.40/154,448.10 = 82,229.40/x
  3. Step 3: Cross multiply
    102,965.40x = 154,448.10 × 82,229.40
  4. Step 4: Simplify right side
    102,965.40x = 12,700,174,594.14
  5. Step 5: Solve for x
    x = 12,700,174,594.14/102,965.40
  6. Step 6: Final answer
    x = 123,344.10

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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.