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Finding the Fourth Proportional to 105,107.26, 145,048 and 67,381.50

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Solution

The fourth proportional to 105,107.26, 145,048 and 67,381.50 is: 92,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.26 : 145,048 = 67,381.50 : x
  2. Step 2: Convert to fraction form
    105,107.26/145,048 = 67,381.50/x
  3. Step 3: Cross multiply
    105,107.26x = 145,048 × 67,381.50
  4. Step 4: Simplify right side
    105,107.26x = 9,773,551,812
  5. Step 5: Solve for x
    x = 9,773,551,812/105,107.26
  6. Step 6: Final answer
    x = 92,986.46

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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.