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Finding the Fourth Proportional to 113,797.96, 156,924.66 and 75,544

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Solution

The fourth proportional to 113,797.96, 156,924.66 and 75,544 is: 104,173.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,797.96 : 156,924.66 = 75,544 : x
  2. Step 2: Convert to fraction form
    113,797.96/156,924.66 = 75,544/x
  3. Step 3: Cross multiply
    113,797.96x = 156,924.66 × 75,544
  4. Step 4: Simplify right side
    113,797.96x = 11,854,716,515.04
  5. Step 5: Solve for x
    x = 11,854,716,515.04/113,797.96
  6. Step 6: Final answer
    x = 104,173.37

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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.