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Finding the Fourth Proportional to 105,104.25, 145,043.87 and 67,378.50

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Solution

The fourth proportional to 105,104.25, 145,043.87 and 67,378.50 is: 92,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,104.25 : 145,043.87 = 67,378.50 : x
  2. Step 2: Convert to fraction form
    105,104.25/145,043.87 = 67,378.50/x
  3. Step 3: Cross multiply
    105,104.25x = 145,043.87 × 67,378.50
  4. Step 4: Simplify right side
    105,104.25x = 9,772,838,057.90
  5. Step 5: Solve for x
    x = 9,772,838,057.90/105,104.25
  6. Step 6: Final answer
    x = 92,982.33

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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.