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Finding the Fourth Proportional to 113,765.76, 170,647.92 and 61,200

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Solution

The fourth proportional to 113,765.76, 170,647.92 and 61,200 is: 91,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,765.76 : 170,647.92 = 61,200 : x
  2. Step 2: Convert to fraction form
    113,765.76/170,647.92 = 61,200/x
  3. Step 3: Cross multiply
    113,765.76x = 170,647.92 × 61,200
  4. Step 4: Simplify right side
    113,765.76x = 10,443,652,704
  5. Step 5: Solve for x
    x = 10,443,652,704/113,765.76
  6. Step 6: Final answer
    x = 91,799.61

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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.