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Finding the Fourth Proportional to 119,745.76, 179,651.04 and 97,765.60

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Solution

The fourth proportional to 119,745.76, 179,651.04 and 97,765.60 is: 146,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,745.76 : 179,651.04 = 97,765.60 : x
  2. Step 2: Convert to fraction form
    119,745.76/179,651.04 = 97,765.60/x
  3. Step 3: Cross multiply
    119,745.76x = 179,651.04 × 97,765.60
  4. Step 4: Simplify right side
    119,745.76x = 17,563,691,716.22
  5. Step 5: Solve for x
    x = 17,563,691,716.22/119,745.76
  6. Step 6: Final answer
    x = 146,674.85

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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.