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Finding the Fourth Proportional to 105,123, 145,069.74 and 67,448.28

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Solution

The fourth proportional to 105,123, 145,069.74 and 67,448.28 is: 93,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,123 : 145,069.74 = 67,448.28 : x
  2. Step 2: Convert to fraction form
    105,123/145,069.74 = 67,448.28/x
  3. Step 3: Cross multiply
    105,123x = 145,069.74 × 67,448.28
  4. Step 4: Simplify right side
    105,123x = 9,784,704,443.05
  5. Step 5: Solve for x
    x = 9,784,704,443.05/105,123
  6. Step 6: Final answer
    x = 93,078.63

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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.