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Finding the Fourth Proportional to 200,553.91, 300,497.33 and 141,264.34

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Solution

The fourth proportional to 200,553.91, 300,497.33 and 141,264.34 is: 211,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,553.91 : 300,497.33 = 141,264.34 : x
  2. Step 2: Convert to fraction form
    200,553.91/300,497.33 = 141,264.34/x
  3. Step 3: Cross multiply
    200,553.91x = 300,497.33 × 141,264.34
  4. Step 4: Simplify right side
    200,553.91x = 42,449,556,596.13
  5. Step 5: Solve for x
    x = 42,449,556,596.13/200,553.91
  6. Step 6: Final answer
    x = 211,661.58

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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.