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Finding the Fourth Proportional to 137,684.32, 206,486.78 and 37,847.77

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Solution

The fourth proportional to 137,684.32, 206,486.78 and 37,847.77 is: 56,760.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,684.32 : 206,486.78 = 37,847.77 : x
  2. Step 2: Convert to fraction form
    137,684.32/206,486.78 = 37,847.77/x
  3. Step 3: Cross multiply
    137,684.32x = 206,486.78 × 37,847.77
  4. Step 4: Simplify right side
    137,684.32x = 7,815,063,452.02
  5. Step 5: Solve for x
    x = 7,815,063,452.02/137,684.32
  6. Step 6: Final answer
    x = 56,760.74

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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.