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Finding the Fourth Proportional to 137,653.94, 206,456.22 and 36,452.64

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Solution

The fourth proportional to 137,653.94, 206,456.22 and 36,452.64 is: 54,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.94 : 206,456.22 = 36,452.64 : x
  2. Step 2: Convert to fraction form
    137,653.94/206,456.22 = 36,452.64/x
  3. Step 3: Cross multiply
    137,653.94x = 206,456.22 × 36,452.64
  4. Step 4: Simplify right side
    137,653.94x = 7,525,874,263.42
  5. Step 5: Solve for x
    x = 7,525,874,263.42/137,653.94
  6. Step 6: Final answer
    x = 54,672.42

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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.