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Finding the Fourth Proportional to 119,978.67, 179,977.57 and 41,093.58

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Solution

The fourth proportional to 119,978.67, 179,977.57 and 41,093.58 is: 61,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978.67 : 179,977.57 = 41,093.58 : x
  2. Step 2: Convert to fraction form
    119,978.67/179,977.57 = 41,093.58/x
  3. Step 3: Cross multiply
    119,978.67x = 179,977.57 × 41,093.58
  4. Step 4: Simplify right side
    119,978.67x = 7,395,922,346.38
  5. Step 5: Solve for x
    x = 7,395,922,346.38/119,978.67
  6. Step 6: Final answer
    x = 61,643.64

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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.