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Finding the Fourth Proportional to 120,277.84, 180,319.56 and 50,209.60

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Solution

The fourth proportional to 120,277.84, 180,319.56 and 50,209.60 is: 75,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,277.84 : 180,319.56 = 50,209.60 : x
  2. Step 2: Convert to fraction form
    120,277.84/180,319.56 = 50,209.60/x
  3. Step 3: Cross multiply
    120,277.84x = 180,319.56 × 50,209.60
  4. Step 4: Simplify right side
    120,277.84x = 9,053,772,979.78
  5. Step 5: Solve for x
    x = 9,053,772,979.78/120,277.84
  6. Step 6: Final answer
    x = 75,273.82

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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.