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Finding the Fourth Proportional to 102,940.20, 154,410.30 and 71,447.40

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Solution

The fourth proportional to 102,940.20, 154,410.30 and 71,447.40 is: 107,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,940.20 : 154,410.30 = 71,447.40 : x
  2. Step 2: Convert to fraction form
    102,940.20/154,410.30 = 71,447.40/x
  3. Step 3: Cross multiply
    102,940.20x = 154,410.30 × 71,447.40
  4. Step 4: Simplify right side
    102,940.20x = 11,032,214,468.22
  5. Step 5: Solve for x
    x = 11,032,214,468.22/102,940.20
  6. Step 6: Final answer
    x = 107,171.10

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1.5x scale

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.