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Finding the Fourth Proportional to 105,657.21, 145,809.72 and 59,713.20

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Solution

The fourth proportional to 105,657.21, 145,809.72 and 59,713.20 is: 82,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,657.21 : 145,809.72 = 59,713.20 : x
  2. Step 2: Convert to fraction form
    105,657.21/145,809.72 = 59,713.20/x
  3. Step 3: Cross multiply
    105,657.21x = 145,809.72 × 59,713.20
  4. Step 4: Simplify right side
    105,657.21x = 8,706,764,972.30
  5. Step 5: Solve for x
    x = 8,706,764,972.30/105,657.21
  6. Step 6: Final answer
    x = 82,405.78

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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.