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Finding the Fourth Proportional to 105,728.64, 145,865.48 and 67,489.62

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Solution

The fourth proportional to 105,728.64, 145,865.48 and 67,489.62 is: 93,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728.64 : 145,865.48 = 67,489.62 : x
  2. Step 2: Convert to fraction form
    105,728.64/145,865.48 = 67,489.62/x
  3. Step 3: Cross multiply
    105,728.64x = 145,865.48 × 67,489.62
  4. Step 4: Simplify right side
    105,728.64x = 9,844,405,816.32
  5. Step 5: Solve for x
    x = 9,844,405,816.32/105,728.64
  6. Step 6: Final answer
    x = 93,110.11

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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.