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Finding the Fourth Proportional to 137,740, 206,590.60 and 44,233.60

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Solution

The fourth proportional to 137,740, 206,590.60 and 44,233.60 is: 66,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,740 : 206,590.60 = 44,233.60 : x
  2. Step 2: Convert to fraction form
    137,740/206,590.60 = 44,233.60/x
  3. Step 3: Cross multiply
    137,740x = 206,590.60 × 44,233.60
  4. Step 4: Simplify right side
    137,740x = 9,138,245,964.16
  5. Step 5: Solve for x
    x = 9,138,245,964.16/137,740
  6. Step 6: Final answer
    x = 66,344.17

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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.