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Finding the Fourth Proportional to 140,045.29, 193,262.39 and 76,382.89

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Solution

The fourth proportional to 140,045.29, 193,262.39 and 76,382.89 is: 105,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,045.29 : 193,262.39 = 76,382.89 : x
  2. Step 2: Convert to fraction form
    140,045.29/193,262.39 = 76,382.89/x
  3. Step 3: Cross multiply
    140,045.29x = 193,262.39 × 76,382.89
  4. Step 4: Simplify right side
    140,045.29x = 14,761,939,494.59
  5. Step 5: Solve for x
    x = 14,761,939,494.59/140,045.29
  6. Step 6: Final answer
    x = 105,408.33

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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.