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Finding the Fourth Proportional to 120,022.60, 179,830.84 and 53,360.68

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Solution

The fourth proportional to 120,022.60, 179,830.84 and 53,360.68 is: 79,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,022.60 : 179,830.84 = 53,360.68 : x
  2. Step 2: Convert to fraction form
    120,022.60/179,830.84 = 53,360.68/x
  3. Step 3: Cross multiply
    120,022.60x = 179,830.84 × 53,360.68
  4. Step 4: Simplify right side
    120,022.60x = 9,595,895,907.37
  5. Step 5: Solve for x
    x = 9,595,895,907.37/120,022.60
  6. Step 6: Final answer
    x = 79,950.74

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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.