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Finding the Fourth Proportional to 225,758.94, 338,694.90 and 159,328.81

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Solution

The fourth proportional to 225,758.94, 338,694.90 and 159,328.81 is: 239,033.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,758.94 : 338,694.90 = 159,328.81 : x
  2. Step 2: Convert to fraction form
    225,758.94/338,694.90 = 159,328.81/x
  3. Step 3: Cross multiply
    225,758.94x = 338,694.90 × 159,328.81
  4. Step 4: Simplify right side
    225,758.94x = 53,963,855,370.07
  5. Step 5: Solve for x
    x = 53,963,855,370.07/225,758.94
  6. Step 6: Final answer
    x = 239,033.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.