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Finding the Fourth Proportional to 105,396.90, 145,523.79 and 65,165.82

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Solution

The fourth proportional to 105,396.90, 145,523.79 and 65,165.82 is: 89,975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,396.90 : 145,523.79 = 65,165.82 : x
  2. Step 2: Convert to fraction form
    105,396.90/145,523.79 = 65,165.82/x
  3. Step 3: Cross multiply
    105,396.90x = 145,523.79 × 65,165.82
  4. Step 4: Simplify right side
    105,396.90x = 9,483,177,104.86
  5. Step 5: Solve for x
    x = 9,483,177,104.86/105,396.90
  6. Step 6: Final answer
    x = 89,975.86

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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.