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Finding the Fourth Proportional to 270,356.94, 373,080.78 and 147,847.14

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Solution

The fourth proportional to 270,356.94, 373,080.78 and 147,847.14 is: 204,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,356.94 : 373,080.78 = 147,847.14 : x
  2. Step 2: Convert to fraction form
    270,356.94/373,080.78 = 147,847.14/x
  3. Step 3: Cross multiply
    270,356.94x = 373,080.78 × 147,847.14
  4. Step 4: Simplify right side
    270,356.94x = 55,158,926,311.97
  5. Step 5: Solve for x
    x = 55,158,926,311.97/270,356.94
  6. Step 6: Final answer
    x = 204,022.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.