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Finding the Fourth Proportional to 75,704.10, 113,556.15 and 75,185.70

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Solution

The fourth proportional to 75,704.10, 113,556.15 and 75,185.70 is: 112,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,704.10 : 113,556.15 = 75,185.70 : x
  2. Step 2: Convert to fraction form
    75,704.10/113,556.15 = 75,185.70/x
  3. Step 3: Cross multiply
    75,704.10x = 113,556.15 × 75,185.70
  4. Step 4: Simplify right side
    75,704.10x = 8,537,798,627.06
  5. Step 5: Solve for x
    x = 8,537,798,627.06/75,704.10
  6. Step 6: Final answer
    x = 112,778.55

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