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Finding the Fourth Proportional to 140,406.46, 193,761.02 and 76,744.26

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Solution

The fourth proportional to 140,406.46, 193,761.02 and 76,744.26 is: 105,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,406.46 : 193,761.02 = 76,744.26 : x
  2. Step 2: Convert to fraction form
    140,406.46/193,761.02 = 76,744.26/x
  3. Step 3: Cross multiply
    140,406.46x = 193,761.02 × 76,744.26
  4. Step 4: Simplify right side
    140,406.46x = 14,870,044,986.42
  5. Step 5: Solve for x
    x = 14,870,044,986.42/140,406.46
  6. Step 6: Final answer
    x = 105,907.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.