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Finding the Fourth Proportional to 105,425.85, 145,511.03 and 72,766.12

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Solution

The fourth proportional to 105,425.85, 145,511.03 and 72,766.12 is: 100,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,425.85 : 145,511.03 = 72,766.12 : x
  2. Step 2: Convert to fraction form
    105,425.85/145,511.03 = 72,766.12/x
  3. Step 3: Cross multiply
    105,425.85x = 145,511.03 × 72,766.12
  4. Step 4: Simplify right side
    105,425.85x = 10,588,273,570.52
  5. Step 5: Solve for x
    x = 10,588,273,570.52/105,425.85
  6. Step 6: Final answer
    x = 100,433.37

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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.