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Finding the Fourth Proportional to 277,270.60, 415,905.90 and 137,000.20

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Solution

The fourth proportional to 277,270.60, 415,905.90 and 137,000.20 is: 205,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,270.60 : 415,905.90 = 137,000.20 : x
  2. Step 2: Convert to fraction form
    277,270.60/415,905.90 = 137,000.20/x
  3. Step 3: Cross multiply
    277,270.60x = 415,905.90 × 137,000.20
  4. Step 4: Simplify right side
    277,270.60x = 56,979,191,481.18
  5. Step 5: Solve for x
    x = 56,979,191,481.18/277,270.60
  6. Step 6: Final answer
    x = 205,500.30

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Similar ratio
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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.