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Finding the Fourth Proportional to 107,157.88, 160,763.56 and 75,629.54

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Solution

The fourth proportional to 107,157.88, 160,763.56 and 75,629.54 is: 113,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,157.88 : 160,763.56 = 75,629.54 : x
  2. Step 2: Convert to fraction form
    107,157.88/160,763.56 = 75,629.54/x
  3. Step 3: Cross multiply
    107,157.88x = 160,763.56 × 75,629.54
  4. Step 4: Simplify right side
    107,157.88x = 12,158,474,304.40
  5. Step 5: Solve for x
    x = 12,158,474,304.40/107,157.88
  6. Step 6: Final answer
    x = 113,463.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.