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Finding the Fourth Proportional to 137,635.80, 206,405.10 and 48,892.20

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Solution

The fourth proportional to 137,635.80, 206,405.10 and 48,892.20 is: 73,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,635.80 : 206,405.10 = 48,892.20 : x
  2. Step 2: Convert to fraction form
    137,635.80/206,405.10 = 48,892.20/x
  3. Step 3: Cross multiply
    137,635.80x = 206,405.10 × 48,892.20
  4. Step 4: Simplify right side
    137,635.80x = 10,091,599,430.22
  5. Step 5: Solve for x
    x = 10,091,599,430.22/137,635.80
  6. Step 6: Final answer
    x = 73,321.04

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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.