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Finding the Fourth Proportional to 105,419.88, 145,489.43 and 57,680.40

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Solution

The fourth proportional to 105,419.88, 145,489.43 and 57,680.40 is: 79,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,419.88 : 145,489.43 = 57,680.40 : x
  2. Step 2: Convert to fraction form
    105,419.88/145,489.43 = 57,680.40/x
  3. Step 3: Cross multiply
    105,419.88x = 145,489.43 × 57,680.40
  4. Step 4: Simplify right side
    105,419.88x = 8,391,889,207.96
  5. Step 5: Solve for x
    x = 8,391,889,207.96/105,419.88
  6. Step 6: Final answer
    x = 79,604.43

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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.