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Finding the Fourth Proportional to 227,568.36, 313,969.41 and 147,043.29

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Solution

The fourth proportional to 227,568.36, 313,969.41 and 147,043.29 is: 202,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,568.36 : 313,969.41 = 147,043.29 : x
  2. Step 2: Convert to fraction form
    227,568.36/313,969.41 = 147,043.29/x
  3. Step 3: Cross multiply
    227,568.36x = 313,969.41 × 147,043.29
  4. Step 4: Simplify right side
    227,568.36x = 46,167,095,005.76
  5. Step 5: Solve for x
    x = 46,167,095,005.76/227,568.36
  6. Step 6: Final answer
    x = 202,871.33

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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.