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Finding the Fourth Proportional to 280,079.16, 419,957.46 and 122,232.12

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Solution

The fourth proportional to 280,079.16, 419,957.46 and 122,232.12 is: 183,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,079.16 : 419,957.46 = 122,232.12 : x
  2. Step 2: Convert to fraction form
    280,079.16/419,957.46 = 122,232.12/x
  3. Step 3: Cross multiply
    280,079.16x = 419,957.46 × 122,232.12
  4. Step 4: Simplify right side
    280,079.16x = 51,332,290,645.62
  5. Step 5: Solve for x
    x = 51,332,290,645.62/280,079.16
  6. Step 6: Final answer
    x = 183,277.79

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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.