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Finding the Fourth Proportional to 137,769.54, 206,654.30 and 44,282.58

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Solution

The fourth proportional to 137,769.54, 206,654.30 and 44,282.58 is: 66,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,769.54 : 206,654.30 = 44,282.58 : x
  2. Step 2: Convert to fraction form
    137,769.54/206,654.30 = 44,282.58/x
  3. Step 3: Cross multiply
    137,769.54x = 206,654.30 × 44,282.58
  4. Step 4: Simplify right side
    137,769.54x = 9,151,184,317.41
  5. Step 5: Solve for x
    x = 9,151,184,317.41/137,769.54
  6. Step 6: Final answer
    x = 66,423.86

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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.