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Finding the Fourth Proportional to 422,050.58, 633,082.62 and 137,740.04

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Solution

The fourth proportional to 422,050.58, 633,082.62 and 137,740.04 is: 206,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,050.58 : 633,082.62 = 137,740.04 : x
  2. Step 2: Convert to fraction form
    422,050.58/633,082.62 = 137,740.04/x
  3. Step 3: Cross multiply
    422,050.58x = 633,082.62 × 137,740.04
  4. Step 4: Simplify right side
    422,050.58x = 87,200,825,402.10
  5. Step 5: Solve for x
    x = 87,200,825,402.10/422,050.58
  6. Step 6: Final answer
    x = 206,612.26

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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.