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Finding the Fourth Proportional to 137,731.60, 206,208.60 and 133,843.60

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Solution

The fourth proportional to 137,731.60, 206,208.60 and 133,843.60 is: 200,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,731.60 : 206,208.60 = 133,843.60 : x
  2. Step 2: Convert to fraction form
    137,731.60/206,208.60 = 133,843.60/x
  3. Step 3: Cross multiply
    137,731.60x = 206,208.60 × 133,843.60
  4. Step 4: Simplify right side
    137,731.60x = 27,599,701,374.96
  5. Step 5: Solve for x
    x = 27,599,701,374.96/137,731.60
  6. Step 6: Final answer
    x = 200,387.58

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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.