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Finding the Fourth Proportional to 207,797.92, 286,628.16 and 144,112.48

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Solution

The fourth proportional to 207,797.92, 286,628.16 and 144,112.48 is: 198,783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,797.92 : 286,628.16 = 144,112.48 : x
  2. Step 2: Convert to fraction form
    207,797.92/286,628.16 = 144,112.48/x
  3. Step 3: Cross multiply
    207,797.92x = 286,628.16 × 144,112.48
  4. Step 4: Simplify right side
    207,797.92x = 41,306,694,975.44
  5. Step 5: Solve for x
    x = 41,306,694,975.44/207,797.92
  6. Step 6: Final answer
    x = 198,783.01

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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.