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Finding the Fourth Proportional to 140,390.60, 210,596.94 and 46,896.68

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Solution

The fourth proportional to 140,390.60, 210,596.94 and 46,896.68 is: 70,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,390.60 : 210,596.94 = 46,896.68 : x
  2. Step 2: Convert to fraction form
    140,390.60/210,596.94 = 46,896.68/x
  3. Step 3: Cross multiply
    140,390.60x = 210,596.94 × 46,896.68
  4. Step 4: Simplify right side
    140,390.60x = 9,876,297,304.16
  5. Step 5: Solve for x
    x = 9,876,297,304.16/140,390.60
  6. Step 6: Final answer
    x = 70,348.71

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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.