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Finding the Fourth Proportional to 140,474.98, 210,668.55 and 46,958.86

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Solution

The fourth proportional to 140,474.98, 210,668.55 and 46,958.86 is: 70,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,474.98 : 210,668.55 = 46,958.86 : x
  2. Step 2: Convert to fraction form
    140,474.98/210,668.55 = 46,958.86/x
  3. Step 3: Cross multiply
    140,474.98x = 210,668.55 × 46,958.86
  4. Step 4: Simplify right side
    140,474.98x = 9,892,755,033.09
  5. Step 5: Solve for x
    x = 9,892,755,033.09/140,474.98
  6. Step 6: Final answer
    x = 70,423.61

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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.