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Finding the Fourth Proportional to 137,725.30, 206,575.80 and 37,876.60

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Solution

The fourth proportional to 137,725.30, 206,575.80 and 37,876.60 is: 56,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,725.30 : 206,575.80 = 37,876.60 : x
  2. Step 2: Convert to fraction form
    137,725.30/206,575.80 = 37,876.60/x
  3. Step 3: Cross multiply
    137,725.30x = 206,575.80 × 37,876.60
  4. Step 4: Simplify right side
    137,725.30x = 7,824,388,946.28
  5. Step 5: Solve for x
    x = 7,824,388,946.28/137,725.30
  6. Step 6: Final answer
    x = 56,811.56

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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.