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Finding the Fourth Proportional to 137,416.62, 206,122.32 and 43,922.34

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Solution

The fourth proportional to 137,416.62, 206,122.32 and 43,922.34 is: 65,882.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416.62 : 206,122.32 = 43,922.34 : x
  2. Step 2: Convert to fraction form
    137,416.62/206,122.32 = 43,922.34/x
  3. Step 3: Cross multiply
    137,416.62x = 206,122.32 × 43,922.34
  4. Step 4: Simplify right side
    137,416.62x = 9,053,374,620.63
  5. Step 5: Solve for x
    x = 9,053,374,620.63/137,416.62
  6. Step 6: Final answer
    x = 65,882.68

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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.