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Finding the Fourth Proportional to 105,425.89, 145,489.37 and 57,680.03

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Solution

The fourth proportional to 105,425.89, 145,489.37 and 57,680.03 is: 79,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,425.89 : 145,489.37 = 57,680.03 : x
  2. Step 2: Convert to fraction form
    105,425.89/145,489.37 = 57,680.03/x
  3. Step 3: Cross multiply
    105,425.89x = 145,489.37 × 57,680.03
  4. Step 4: Simplify right side
    105,425.89x = 8,391,831,301.60
  5. Step 5: Solve for x
    x = 8,391,831,301.60/105,425.89
  6. Step 6: Final answer
    x = 79,599.34

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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.