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Finding the Fourth Proportional to 200,429.68, 300,643.44 and 50,669.92

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Solution

The fourth proportional to 200,429.68, 300,643.44 and 50,669.92 is: 76,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,429.68 : 300,643.44 = 50,669.92 : x
  2. Step 2: Convert to fraction form
    200,429.68/300,643.44 = 50,669.92/x
  3. Step 3: Cross multiply
    200,429.68x = 300,643.44 × 50,669.92
  4. Step 4: Simplify right side
    200,429.68x = 15,233,579,053.32
  5. Step 5: Solve for x
    x = 15,233,579,053.32/200,429.68
  6. Step 6: Final answer
    x = 76,004.61

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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.