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Finding the Fourth Proportional to 137,758.77, 206,613.90 and 37,894.86

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Solution

The fourth proportional to 137,758.77, 206,613.90 and 37,894.86 is: 56,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,758.77 : 206,613.90 = 37,894.86 : x
  2. Step 2: Convert to fraction form
    137,758.77/206,613.90 = 37,894.86/x
  3. Step 3: Cross multiply
    137,758.77x = 206,613.90 × 37,894.86
  4. Step 4: Simplify right side
    137,758.77x = 7,829,604,814.55
  5. Step 5: Solve for x
    x = 7,829,604,814.55/137,758.77
  6. Step 6: Final answer
    x = 56,835.62

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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.