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Finding the Fourth Proportional to 215,633.80, 323,450.70 and 137,096.20

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Solution

The fourth proportional to 215,633.80, 323,450.70 and 137,096.20 is: 205,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,633.80 : 323,450.70 = 137,096.20 : x
  2. Step 2: Convert to fraction form
    215,633.80/323,450.70 = 137,096.20/x
  3. Step 3: Cross multiply
    215,633.80x = 323,450.70 × 137,096.20
  4. Step 4: Simplify right side
    215,633.80x = 44,343,861,857.34
  5. Step 5: Solve for x
    x = 44,343,861,857.34/215,633.80
  6. Step 6: Final answer
    x = 205,644.30

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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.