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Finding the Fourth Proportional to 105,602.96, 145,612.68 and 67,311.44

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Solution

The fourth proportional to 105,602.96, 145,612.68 and 67,311.44 is: 92,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602.96 : 145,612.68 = 67,311.44 : x
  2. Step 2: Convert to fraction form
    105,602.96/145,612.68 = 67,311.44/x
  3. Step 3: Cross multiply
    105,602.96x = 145,612.68 × 67,311.44
  4. Step 4: Simplify right side
    105,602.96x = 9,801,399,173.06
  5. Step 5: Solve for x
    x = 9,801,399,173.06/105,602.96
  6. Step 6: Final answer
    x = 92,813.68

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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.