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Finding the Fourth Proportional to 105,782.59, 145,950.84 and 68,078.71

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Solution

The fourth proportional to 105,782.59, 145,950.84 and 68,078.71 is: 93,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,782.59 : 145,950.84 = 68,078.71 : x
  2. Step 2: Convert to fraction form
    105,782.59/145,950.84 = 68,078.71/x
  3. Step 3: Cross multiply
    105,782.59x = 145,950.84 × 68,078.71
  4. Step 4: Simplify right side
    105,782.59x = 9,936,144,910.62
  5. Step 5: Solve for x
    x = 9,936,144,910.62/105,782.59
  6. Step 6: Final answer
    x = 93,929.87

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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.