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Finding the Fourth Proportional to 137,914.34, 206,871.48 and 44,420.09

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Solution

The fourth proportional to 137,914.34, 206,871.48 and 44,420.09 is: 66,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,914.34 : 206,871.48 = 44,420.09 : x
  2. Step 2: Convert to fraction form
    137,914.34/206,871.48 = 44,420.09/x
  3. Step 3: Cross multiply
    137,914.34x = 206,871.48 × 44,420.09
  4. Step 4: Simplify right side
    137,914.34x = 9,189,248,725.68
  5. Step 5: Solve for x
    x = 9,189,248,725.68/137,914.34
  6. Step 6: Final answer
    x = 66,630.12

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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.